Question

I'm rather stuck on this question

Answer 1

m<a = 30°

m<b = 90°

m<c = 60°

Explanation:

Angles a, b, and c are all angles on a straight line.

Angles on a straight line add up to 180°.

Therefore, a + b + c = 180°

Given that a:b:c = 1:3:2, the measure of each can be calculated as follows:

Measure of each angle = the ratio proportion of that angle ÷ total ratio proportion * 180°

m<a =
`(1)/(6) * 180 = 30`

m<b =
`(3)/(6) * 180 = 90`

m<c =
`(2)/(6) * 180 = 60`