We appreciate your visit to Triangle QSR Angle Q is 98 degrees Angle R is 37 6 degrees Triangle TUV Angle U is 98 degrees Angle V is 37 6. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Triangles QSR and TUV are similar triangles, as their corresponding angles have the same measures.
In triangle QSR, we know that angle Q is 98 degrees and angle R is 37.6 degrees.
To find the measure of angle S, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
Therefore, the measure of angle S in triangle QSR is:
∠S = 180° - ∠Q - ∠R
= 180° - 98° - 37.6°
≈ 44.4°
In triangle TUV, angle U is 98 degrees and angle V is 37.6 degrees.
Similarly, to find the measure of angle T, we can use the fact that the sum of the angles in a triangle is 180 degrees.
Therefore, the measure of angle T in triangle TUV is:
∠T = 180° - ∠U - ∠V
= 180° - 98° - 37.6°
≈ 44.4°
From the given information, we can conclude that:
∠Q = ∠T = 98°: The measures of angles Q and T in triangles QSR and TUV are both 98 degrees.
∠R = ∠V = 37.6°: The measures of angles R and V in triangles QSR and TUV are both 37.6 degrees.
∠S = ∠U = 44.4°: The measures of angles S and U in triangles QSR and TUV are both approximately 44.4 degrees.
Based on these conclusions, we can say that triangles QSR and TUV are similar triangles, as their corresponding angles have the same measures.
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