Answered

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an angle measures 85.2 less than the measure of its supplementary angle. what is the measure of each angle? it should be 2 angles or answers. please answer quick. i will mark brainliest. thank you

Sagot :

Taehyungieee
The two angles are in the box
check the image below for working
View image Taehyungieee
sqdancefan

Answer:

  47.4°, 132.6°

Step-by-step explanation:

Given the difference of two angles is 85.2° and their sum is 180°, you want to find their measures.

Setup

Let the smaller angle be represented by x. Then the larger angle is (x +85.2). Their sum is ...

  x +(x +85.2) = 180

Solution

Simplifying the equation, we get ...

  2x +85.2 = 180

  2x = 94.8 . . . . . . . . subtract 82.5

  x = 47.4 . . . . . . . divide by 2

  x +85.2 = 132.6

The two angles are 47.4° and 132.6°.

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