Question

The ratio of two supplementary angles is 2:7. What's the measure of the smaller angle?

Answer 1

`color(green)("Measure of the smaller angle " = 40 ^@`

Explanation:

Given : `2x + 7x = 180^@, " as the two angles are supplementary"`

`9x = 180, " or " x = cancel(180)^color(red)(20) / cancel 9 = 20^@`

`"Smaller angle " = 2x = 2 * 20 = 40^@`