Question

Two supplementary angles are such that two times the measure of one is equal to three times the other .find the greater angle

Answer 1

sum of any two angles equals to 180 degrees is called supplementary angles

let one angle = x
second angle = 180-x

2x = 3(180-x) by the given data

2x= 3×180-3x

2x+3x = 180×3

5x = 180×3

x= 180×3/5

x= 108 this is big angle
another angle is 180-x = 72

Answer 2

Answer:

The required answer is $54$°.

Step-by-step explanation:

Supplementary angles: Angles that add up to 180 degrees are referred to as supplementary angles.

Let the two angles be x and $99$°$-x$are given that

$2$*one angle=$3$* its compliment

$2*x=3*(90-x)$

Simplification equation.

$2x=270$°$-3x$

$2x+3x=270$°

Calculate value of $x$.

$x=\frac{270}{5}=54$

Ans its complement=$90-54=36$°

Hence, the measure of the greater angle is $54$°.

#SPJ3