in the triangle below AB=QR,BC=PQ,CA=RP.compute the remaining anglesof both triangle
Answers
Answer:
Answer
Given, AB = QR
BC = PQ
CA = RP, which are corresponding sides of both triangles.
Thus, angles between any two of the corresponding sides in the two figures are matching angles.
Finding matching angles will help us to compute the remaining angles.
Therefore,
∠ABC = ∠PQR = 70⁰
∠PRQ = ∠CAB = 60⁰
Now, we have,
In ∆ABC,
∠a + ∠b + ∠c = 180⁰
60⁰ + 70⁰ + ∠c = 180⁰
130⁰ + ∠c = 180⁰
∠c = 180⁰-130⁰
∠c = 50⁰
In ∆PQR,
∠p + ∠q + ∠r = 180⁰
∠p + 70⁰ + 60⁰ = 180
∠p + 130⁰ = 180⁰
∠p = 180⁰-130⁰
∠p = 50⁰
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