Answer:
<Q = 44.4
<T = 44.4
The triangles are similar
Step-by-step explanation:
Both triangle QSR and triangle TUV are similar triangles since the corresponding angles are equal.
Two figures are similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. Hence all the corresponding angles are similar.
From the diagram:
∠Q + ∠R + ∠S = 180° (angle in a triangle)
∠Q + 98 + 37.6 = 180
∠Q = 44.4°
∠T + ∠U + ∠V = 180° (angle in a triangle)
∠T + 98 + 37.6 = 180
∠T = 44.4°
Both triangle QSR and triangle TUV are similar triangles since the corresponding angles are equal.
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