Question

What is the measure of angle G ?

Answer 1

m∠G = 121°

Explanation:

The sum of angle measures of a triangle is 180°. Then ...

x + (x -5) + (3x+25) = 180

5x +20 = 180 . . . . simplify

5x = 160 . . . . . . . . subtract 20

x = 32 . . . . . . . . . . divide by 5

3x+25 = 3(32) +25 = 121 . . . . the measure of G in degrees

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Check

The other two angles are

• x° = 32°
• (x-5)° = 27°

Then the total of the angle measures is

x + (x-5) + (3x+25) = 32° + 27° + 121° = 180° . . . as it should be