In triangleABC ,B=50°,C=62° then find A=?
Answers
Answer:
∆A + ∆B + ∆C = 180°
∆A + 50° + 62° = 180°
∆A + 112° = 180°
∆A = 180° - 112°
∆A = 68°
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Sum property of triangle is 180°
Step-by-step explanation:
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The correct answer is angle A is 68° in ΔABC.
Given:
ΔABC in which angle B is 50° and angle C is 62°
To find:
Angle A
Solution:
According to triangle rules, the total of the three angles formed by the triangle's three sides equals 180°.
suggests that
Angle B + Angle C + Angle A = 180°
Let's say that angle A is x° right now.
implies that angle A + angle B + angle C = 180°.
⇒62°+50°+x°=180°
⇒112°+x°=180°
⇒x°=180°-112°
⇒x°=68°
The value of x suggests that angle A has a value of 68°.
After confirming the response,
Angle A + Angle B + Angle C = 180°
=68+62+50=180°
We can see that the discovered solution satisfies the requirement, hence angle A is equal to 68°.
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