Answer:
The answer to your question is:
m∠a = 44°, m∠b = 47° and m∠c = 89°
∠a and ∠b are not complementary angles
Step-by-step explanation:
Process
1.- m∠a + m∠b + m∠c = 180° because they are supplementary angles.
(3x + 5) + (5x - 18) + (7x - 2) = 180°
2.- Simplify like terms
3x + 5 + 5x - 18 + 7x - 2 = 180°
3x + 5x + 7x = 180 - 5 + 18 + 2
15 x = 195
x = 195 / 15
x = 13
3.- Determine m∠a, m∠b and m∠c.
m∠a = 3(13) + 5
= 39 + 5
= 44°
m∠b = 5(13) - 18
= 47°
m∠c = 7(13) - 2
= 89°
Part B. ∠ a and ∠ b are not complementary angles, because the sum of these angles equals 90° and the sum of ∠a + ∠b = 91°.
