Question

4 Mr. Serat is choosing tiles for a client's kitchen. Identify

three pairs of similar triangles. Explain.
А
AABC where m2A = 24 and mZB = 96
B
ADEF where mZD = 24 and mZE = 64
с
AGHI where m2 = 24 and m/1 = 92
D
AJKL where m2 = 24 and mZL = 99
E
AMNO where m/M = 24 and mzo = 60
F
APQR where mZP = 24 and m20 = 57

Answer 1

Pairs:

ABC:MNO

DEF:GHI

JKL:PQR

Explanation:

To solve this you must find the missing angle. Similar triangles have the same angles.

ABC

180 - 96 - 24 = 60

Angles: 96-24-60

DEF

180 - 24 -64= 92

Angles: 24-64-92

GHI

180-24-92 = 64

Angles: 24 - 92- 64

JKL

180 - 24 - 99 = 57

Angles: 24 - 99 - 57

MNO

180 - 24 - 60 = 92

Angles: 24-60-92

PQR

180 - 24 - 57 = 99

Angles: 24 - 57 - 99

Match the triangles with the same angles and those are the similar triangles.