Question

1. Of two supplementary angles, measure of one angle 's 2 times the
other. What is the measure of the smalangle?​

Answer 1

Answer:

Step-by-step explanation:

Let the measure of one of the supplementary angles be a .

Measure of the other angle is 2 times a .

So, measure of the other angle is 2a .

If the sum of the measures of two angles is 180° , then the angles are supplementary.

So, a+2a=180°

Simplify.

3a=180°

To isolate a , divide both sides of the equation by 3 .

3a3=180°3    a=60°

The measure of the second angle is,

2a=2×60°       =120°

So, the measures of the two supplementary angles are 60° and 120° .

Smallest angle = 60°

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Answer 2

Answer:

60⁰

Step-by-step explanation:

let one angle be =x (smaller angle)

let the angle which is double be =2x(larger angle )

supplementary angles = 180⁰

x+2x=180⁰

3x=180

x=180/3

x=60

The smaller let is 60⁰ and larger angle is 180⁰