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
[tex]\dfrac{11x}{11} =\dfrac{165}{11}[/tex]
⇒ x = 15°
∴ The smaller angle = 15° and
The larger angle = 10(15° ) + 15° = 165°