Question

find x
and
each of the
interior angles.​

Answer 1

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

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

$(27+40)=67^o$

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