Question

50 Points*** Please help!

Answer 1

If Angle a and Angle b are complementary angles, then:

Angle a + Angle b = 90 degrees

We are given that:

Angle a = 4x - 29 degrees

Angle b = x + 24 degrees

Substituting these values into the equation above, we get:

4x - 29 + x + 24 = 90

Combining like terms, we get:

5x - 5 = 90

Adding 5 to both sides, we get:

5x = 95

Dividing both sides by 5, we get:

x = 19

Now that we know the value of x, we can find the measure of Angle a:

Angle a = 4x - 29 degrees

= 4(19) - 29 degrees

= 77 degrees

Therefore, Angle a measures 77 degrees.

Answer 2

angle A = 43

Explanation:

complementary angles = 90

Combine like terms

4x - 29

X + 24

5x - 5=90

90 + 5= 95

5x = 95

95/5=19

X=19

So now in substitute 19 for x

19 + 24= 43

So angle A = 43

also if you need angle B

4 x 19 - 29= 47

Angle B = 47

And to check that they are complementary angles 43 + 47= 90 so the answers are correct.