Question

3. Triangle ABC has angle measures as shown.

(x + 2)
(6x + 10)
(a) What is the value of x? Show your work.
(b) What is the measure of angle B? Show your work.

Answer 1

Below in bold.

Explanation:

(a) The angles in a triangle add up to 180 degrees, so:

x + x + 2 + 6x + 10 = 180

8x + 12 = 180

8x = 168

x = 168/8 = 21 degrees.

(b) Angle B = x + 2

= 21 + 2 = 23 degrees.