two consecutive angles of a parallelogram have measures (2x - 40) and [3(x + 15)°]. what is the measure of the smaller angle?
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Answer :-
we know that, consecutive angles in a parallelogram are supplementary .
so,
→ (2x - 40) + 3(x + 15) = 180°
→ 2x - 40 + 3x + 45 = 180°
→ 5x + 5 = 180°
→ 5x = 175°
→ x = 35° .
then,
- Smaller angle = (2*35 - 40) = 70 - 40 = 30° .
- Larger angle = 3(35 + 15) = 3 * 50 = 150° .
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