Question

An angle is 58° more than it's supplement.
What is the measure of the angle?
Please answer with step by step explanation.

Answer 1

Answer:

61° and 119°

Step-by-step explanation:

Let the measure of the angle be x.

And then, the measure of the other angle is x + 58°.

We know that the sum of two supplementary angles is 180°.

Then,

x + (x + 58°) = 180°

x + (x + 58°) = 180°= 2x + 58° = 180°

Hence, 2x = 180° - 58° = 122°

Hence, 2x = 180° - 58° = 122°Therefore, x = 122/2 = 61°.

Now, the measure of Angle 1 = 61°

Hence the measure of Angle 2 = 61° + 58° = 119°

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