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7.5 Standard Position Period
Angles in Standard Position:
In a coordinate plane, an angle can be formed by fixing one ray called the INITIAL SIDE, and rotating the other ray, called the TERMINAL SIDE, about the VERTEX.
Find the measure of each angle.
1)
2)
yy
50°
xx
60°
3)
4)
yy
50°
Classwork: Find the measure of each angle.
5)
6)
yy
xx
50°
xx
65°
85°
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Worksheet by Kuta Software LLC

7)
8)
yy
40°
xx
85°
10)
yy
9)
11)
12)
30°
xx
yy
40°
55°
20°
13)
xx
14)
yy
15)
yy
40°

answear:

a

step-by-step explanation: a

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.

part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft