Question

Find the measures of two supplementary angles if their measures are given in the given ratio

11:25

Answer 1

Let the measure of the supplementary angles be 11x and 25x

According to the question :

`\tt \: 11x + 25x = 180 {}^( \circ) \\ \\ \\ \tt \dashrightarrow \: 36x = 180 {}^( \circ) \\ \\ \\ \tt \dashrightarrow x = \frac{180{}^( \circ) }{36} \\ \\ \\ \: \: \: \: \: \: \: \dashrightarrow \: { \underline{ \boxed{ \mathfrak{ \pmb{ \purple{x = 5}}}}}} \: \: \pink{\bigstar} \\ \\`

So the required angles are :

• 11x = 11 × 5 = 55

• 25x = 25 × 5 = 125