Answer:
D) 29
Explanation:
Step 1 solve for x
Complementary angles add up to 90 degrees.
This means that ∠A + ∠B = 90
If ∠A = 2x + 7 and ∠B = 6x - 5
Then 2x + 7 + 6x - 5 = 90
We now solve for x
2x + 7 + 6x - 5 = 90
==> combine like terms
8x + 2 = 90
==> subtract 2 from both sides
8x = 88
==> divide both sides by 8
x = 11
Step 2 , plug in x to find ∠A
Now to find ∠A we plug in the value of x into 2x + 7
∠A = 2x + 7
==> plug in x = 11
∠A = 2(11) + 7
==> multiply 2 and 11
∠A = 22 + 7
==> add 22 and 7
∠A = 29