Question

The sum of the measures of three adjacent angles is 150∘. The measures of the angles are in the ratio of 1:2:3. What is the measure, in degrees, of the largest angle?

Answer 1

75°

Explanation:

1:2:3

so there are a total of 6 parts. Then, each part would be:

=) 150÷6= 25

The largest angle is 3 parts. so, if 1 part is 25, 3 parts is 25×3= 75

The largest angle is is 75°

Hope this helps!