Let angle 1 and angle 2 be complementary. if má 1 = 4x +3 and m42 = x + 2, find the measure
of angle 1.

Step-by-step explanation:

Complimentary angles are two acute angles whose sum is 90 degrees.

Angle 1 = 4x + 3

Angle 2 = x + 2

Since angle 1 and angle 2 are complimentary angles, it means that

4x + 3 + x + 2 = 90

4x + x + 5 = 90

Subtracting 5 from the left hand side and the right hand side of the equation, it becomes

5x + 5 - 5 = 90 - 5

5x = 85

Dividing the left hand side and the right hand side of the equation by 5, it becomes

5x/5 = 85/5

x = 17

The measure of angle 1 would be

4 × 17 + 3 = 68 + 3 = 71 degrees

- 70

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