Question

in the figure, m∠1=(2x)° and m∠2=(x + 54)°. (a) write an equation to find x. make sure you use an = sign in your answer. equation: . (b) find the degree measure of each angle. m∠1= °, m∠2= °

Explanation:

Step1: Set up equation

Since the two angles are complementary, 2x+(x + 54)=90.

Step2: Simplify left - hand side

3x+54 = 90.

Step3: Solve for x

3x=90 - 54, 3x = 36, x = 12.

Step4: Find angle measures

m∠1=2x=2×12 = 24°. m∠2=x + 54=12+54 = 66°.

Answer:

(a) Equation: 2x+(x + 54)=90
(b) m∠1 = 24°, m∠2 = 66°