Question

Use the following image to answer the questions.

a). How are the triangles similar? space justify your answer with a theorem or postulate.
b.) What is the value of x? Show you work.​

Answer 1

a) The AA, Angle-angle Theorem

b) 15

Explanation:

m∠B = m∠Q

m∠A = m∠P

∴ ΔBAC ~ ΔQPR ...... The AA, Angle-angle Theorem

AB / PQ = AC / PR

24 /32 = (3x+6) / 28

32 * (3x + 6) = 24 * 28

3x + 6 = 24 * 28 / 32 = 21

3x = 15

x = 5