Question

Explain whether the triangles are similar.​

Answer 1

Not similar because of different interior angles

Explanation:

For triangle XYZ:

• We should find the missing angle
• The missing angle will be labelled z
• All triangle interior angles add up to 180

z + 55 + 84 = 180

z + 139 = 180

z = 180 - 139

z = 41

For triangle PQR:

• The missing angle will be labelled q

q + 55 + 38 = 180

q + 93 = 180

q = 180 - 93

q = 87

Since the interior angles of the 2 triangles aren't equal, they are not similar