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Answer :
The measurements of missing angles are 44.4 each and the triangles are similar.
What are similar triangles?
Two triangles are said to be similar if they have congruent corresponding angles and their corresponding sides are in equal ratios.
Given that, there are two triangles, ΔQSR and ΔTUV, where ∠Q and ∠U = 98° and ∠V and ∠R = 37.6°, we need to find the measurement of third angle in both and the relation between the triangles,
Using the angles sum property of a triangles,
∠Q + ∠S + ∠R = 180°
∠T + ∠U + ∠V = 180°
Therefore,
∠S = 180°-(37.6°+98°)
∠S = 44.4
Similarly,
∠T = 44.4
Since, all the corresponding angles are congruent therefore, the triangles are similar.
Hence the measurements of missing angles are 44.4 each and the triangles are similar.
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44.4 degrees
44.4 degrees
The triangles are similar.
Step-by-step explanation:
