Question

26. A triangular playground has angles with measures in the ratio 8: 7:5. What is the measure of the smallest angle?

28°
45°
6°
39⁰

Answer 1

smallest angle = 45°

Explanation:

given ratios of angles 8 : 7 : 5 = 8x : 7x : 5x ( x is a multiplier )

the sum of the 3 angles in a triangle is 180° , then

8x + 7x + 5x = 180

20x = 180 ( divide both sides by 20 )

x = 9

smallest angle measure is 5x = 5 × 9 = 45°