Question

If m∠ABC=7x-2 and ∠CDE=5x+16 are congruent, find m∠ABC?

Answer 1

Answer: m∠ABC = 61°

Step-by-step explanation: Since angles are congruent, make the equation

7x-2 = 5x + 16

7x-5x = 16 +2

2x = 19

x = 9

Substitute 9 for x

7(9) -2 = m∠ABC . and 5(9) + 16 = m∠CDE

63-2 = 61° = m∠ABC 45 + 16 = 61 True!