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Aloiza [94]
3 years ago
9

Find xandeach of theinterior angles.​

Mathematics
1 answer:
Kay [80]3 years ago
5 0

Answer:

Part 1) x=27

Part 2) The measure of the interior angles are 64°-67°-49°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of x

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

In this problem

(3x-17)^o+(x+40)^o+(2x-5)^o=180^o

Solve for x

Combine like terms

(6x+18)^o=180^o

Subtract 18 both sides

6x=180-18

6x=162

Divide by 6 both sides

x=27

step 2

Find the measure of each interior angle

substitute the value of x in each measure

(3(27)-17)=64^o

(27+40)=67^o

(2(27)-5)=49^o

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