Question

Two angles are supplementary.The larger angle is 15 more than 10 times the smaller angle. Find the measure of each angle

Answer 1

The smaller angle = 15° and The larger angle = 165°

Step-by-step explanation:

Let the smaller angle = x and

The larger angle = 10x + 15°

To find, the measure of each angle = ?

We know that,

The sum of two supplementary anges = 180°

∴ x + (10x + 15°) = 180°

⇒ x + 10x + 15° = 180°

⇒  11x = 180° - 15°

⇒  11x = 165°

Dividing both sides by 11, we get

$\dfrac{11x}{11} =\dfrac{165}{11}$

⇒  x = 15°

∴ The smaller angle = 15° and

The larger angle = 10(15° ) + 15° = 165°