Question

ASAP. Triangle ABC has angle measures as shown. complete sentences

(a) What is the value of x? Complete sentence. Show your work.
(b) What is the measure of each angle? Do the 3 angles add to 180 degrees? Show your work

Answer 1

In a triangle, the three angles ALWAYS add up to 180°

x + (6x + 10) + (x + 2) = 180

8x + 12 = 180

8x = 168

x = 21

To calculate the measure of each angle, substitute x in:

Angle A: 21

Angle B: 6(21)+10

Angle C: 21 + 2

Do the angles add up to 180 degrees? Just add the answer for A B and C and see if the sum is 180. It should be 180, if it isn't something is wrong with the calculation.