Vocabulary 词汇
Complimentary Angles 互补角
Supplementary Angles 补角
Vertical Angles
垂直角度
Angles in a Triangle and Quadrilateral 三角形和四边形的角
100

Complementary Angles add up to how many degrees?

补角之和等于多少度?

90 degrees

90度

100

Angle A and Angle B are complementary angles.  Angle A is 35 degrees. How many degrees is Angle B?


角A和角B互为余角。角A是35度。角B是多少度?

55 degrees

55度

100

Suppose <A = <B and <B is equal to 47 degrees.  Find a measure of an angle that is supplementary to <A.


假设<A = <B,且<B等于47度。求与<A互为补角的角的度数。

133 degrees

133度

100

Angles 1 and 2 are vertical angles.  If angle 2 is 101 degrees, how many degrees is angle 1?

角 1 和角 2 是顶角。如果角 2 是 101 度,那么角 1 是多少度?

101 degrees

101度

100

In triangle ABC, angle A is 30 degrees, angle B is 25 degrees, how many degrees is angle C?

在三角形ABC中,角A是30度,角B是25度,角C是多少度?

125 degrees

125度

200

What is the name of the relationship of two angles that add up to 180 degrees?

两个角之和为180度的关系叫什么?

Supplementary Angles

补角

200

What is the complement of an angle measuring 12 degrees?

12 度的角的补角是多少度?

78 degrees

78度

200

If m<3 = 115 and m<3 and m<4 form a linear pair, find m<4.

如果 m<3 = 115 且 m<3 与 m<4 形成线性对,则求 m<4。

 

m<4 = 65 degrees

m<4 = 65度

200

Find the value of x .

Vertical angles are congruent, so set the angles equal to each other and solve for x.

求 x 的值。
对顶角全等,因此设对顶角相等,并解出 x 的值。

x+16=4x-5

3x=21

x=7

200

In quadrilateral ABCD, angle A is 70 degrees, angle B is 65 degrees, angle C is 110 degrees, how many degrees is angle D?

四边形ABCD中,角A是70度,角B是65度,角C是110度,角D是多少度?

115 degrees

115度

300

Angles that are congruent and opposite of each other that are formed by the intersection of two lines are called what?


两条线相交形成的全等且相反的角叫什么

Vertical Angles

垂直角度

300

Find the percent change and state whether the percent of change is increasing or decreasing.

Old Price: $45

Sale Price: $18

找出变化百分比,并说明变化百分比是增加还是减少。
原价:45 美元
促销价:18 美元

60 percent decrease

减少60%

300

Angles Q and R are supplementary.  If m<Q = 4x + 9 and m<R = 8x + 3, what is the measure of each angle?

角 Q 和角 R 互为补角。如果 m<Q = 4x + 9 且 m<R = 8x + 3,则每个角的度数是多少?

x = 14, m<Q = 65, m<R = 115

300

Angles P and W are vertical angles.  If angle P measures 4x + 4 and angle W measures 2x + 50, what is the value of x?

角 P 和角 W 是顶角。如果角 P 等于 4x + 4,角 W 等于 2x + 50,那么 x 的值是多少?

x = 24

300

In triangle DEF, m<D = 2x, m<E = 4x, and m<F = 6x, what is the value of x?

在三角形 DEF 中,m<D = 2x、m<E = 4x 和 m<F = 6x,x 的值是多少?

x = 15

400

How many degrees are in a Triangle? In a Quadrilateral?

三角形和四边形的度数分别是多少?

180 degrees; 360 degrees

180度;360度

400

Angles A and B are complementary.  If m<A = 3x - 8 and m<B = 5x + 10, what is the measure of each angle?

角 A 和角 B 互为余角。如果 m<A = 3x - 8 且 m<B = 5x + 10,则每个角的度数是多少?

x = 11, m<A = 25, m<B = 65

400

Two angles are supplementary. The measure of one angle is the half the measure of the other. What is the measure of the smaller angle?

两个角互为补角。一个角的度数是另一个角的度数的一半。较小角的度数是多少?

𝑥 = 60

400

Angles <1 and <2 are vertical angles.  <1 measures 75 degrees and <2 is equal to x-18.  Find the value of x.

角<1和<2是垂直角。<1等于75度,<2等于x-18。求x的值。

x = 93

400

In quadrilateral ALDO, m<A = 60 degrees, m<L = 5x, m<D = 3x + 10, and m<O = 2x, what is the value of x?

在四边形 ALDO 中,m<A = 60 度,m<L = 5x,m<D = 3x + 10 且 m<O = 2x,x 的值是多少?

x = 29

500

Define a scalene, isosceles and equilateral triangle


定义不等边三角形、等腰三角形和等边三角形

A scalene has 0 sides and 0 angles congruent, an isosceles has 2 sides and 2 angles congruent, and an equilateral has 3 sides and 3 angles congruent

不等边三角形有 0 条边,0 个角相等;等腰三角形有 2 条边,2 个角相等;等边三角形有 3 条边,3 个角相等


500

If m<A and m<B are complementary angles and m<A = 2x - 6, and m<B = 3x + 11, what is the measurements of m<A and m<B?


如果 m<A 和 m<B 是余角,且 m<A = 2x - 6,m<B = 3x + 11,那么 m<A 和 m<B 的测量值是多少?

x = 17, m<A = 28, m<B = 62

500

Angles C and D are supplementary. If m<C = 12x and m<D = 4(x+5), find x. Then find m<C and m<D.


角 C 和角 D 互为补角。若 m<C = 12x 且 m<D = 4(x+5),求 x。然后求 m<C 和 m<D。

x = 10 ; m<C = 120 ; m<D = 60

500

Find the value of y .

 

Vertical angles are congruent, so set the angles equal to each other and solve for y.

求 的值。
对顶角全等,因此设对顶角相等,并解 。


9y+7=2y+98

7y=91

y=13

500

In isosceles triangle ABC, angles A and B are congruent measuring 3x -14 and m<C = 2x.  What is the measurement of each angle?

在等腰三角形 ABC 中,角 A 和角 B 全等,角的度数为 3x -14,m<C = 2x。每个角的度数是多少?

x = 26, m<A = 64, m<B = 64, m<C = 52