Question

The image below shows 2 complementary angles.

(x+3)
B1 (2x-3)°
a) Write an equation that can be used to determine the value of x.
b) Solve your equation from part a. Show all work.
c) What are the measures of 1 and 22 Show all work.

Answer 1

a)(x + 3) + (2x - 3) = 90

b)(x + 3) + (2x - 3) = 90

-3 -3

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x + (2x-3) = 87

+3 +3

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x + 2x = 90

Simpify: x + 2x = 3x

3x/3 = 3

90/3 = 30

x = 30º

c)(30 + 3) = 33º for angle A

(2x30-3)= 57º for angle B

Explanation:

Set them equal to 90º because complementary means 2 angles that = 90º