Question

Two supplementary angles differ by 20. what is the measure of smallest angle

Answer 1

Answer:

Measure of smaller angle = 60°

Step-by-step explanation:

Let the larger angle be x and the smaller angle is x-20(since it is given that the two angles differ by 20).

Now, as the angles are supplementary

x+x-20° = 180°

2x-20° = 180°

2x = 180° - 20°

2x = 160°

x = 160°/2

x = 80°

And the smaller angle is

x - 20° = 80° - 20° = 60°

Therefore the smaller angle is 60°.

Answer 2

Given :   two supplementary angles differ by 20°

To Find :  Smallest angle

Solution:

Two angles are supplementary if their measures add up to 180°

Let say smallest angle = x

 angles differ by 20°

Hence another angle = x +  20°

x  + x + 20° = 180°

=> 2x = 160°

=> x =  80°

Smallest angle is 80°

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