Answer:
- Angle 1 = x = 37.5°
- Angle 2 = x + 15 = 52.5°
Concept:
Here, we need to know the idea of the complementary angle.
Two angles are said to be complementary if they add up to 90 degrees.
Be aware that three or more angles cannot be complementary even if their sum is 90 degrees.
Solve:
<u>Given information</u>
Angle 1 = x
Angle 2 = x + 15
<u>Given expression deducted from the definition of the complementary angle</u>
Angle 1 + Angle 2 = 90
<u>Substitute values into the expression</u>
(x) + (x + 15) = 90
<u>Combine like terms</u>
(x + x) + 15 = 90
2x + 15 = 90
<u>Subtract 15 on both sides</u>
2x + 15 - 15 = 90 - 15
2x = 75
<u>Divide 2 on both sides</u>
2x / x = 75 / 2

<u>Find the measure of angle 2</u>
Angle 2 = x + 15 ⇔ <em>Given expression</em>
Angle 2 = (37.5) + 15 ⇔ <em>Substitute values into the expression</em>
Angle 2 =
⇔ <em>Simplify by addition</em>
Hope this helps!! :)
Please let me know if you have any questions