in triangle ABC angle A=35 degree and Angle B=65 degree.find the measure of Angle Can
Answers
Answer:
Step-by-step explanation:
Property of triangle:
The sum of all its 3 angles =180°
Answer:
<α= 35°
<β= 65°
Let angle C be = x
So,
<α +<β+ <c=180°
35°+65°+x=180°
100°+x=180°
x=180°–100°
x=80°
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Given : In triangle ABC, angle A=35, angle B =65
To Find : the measure of angle C
Solution:
m∠A = 35°
m∠B = 65°
m∠C = ?
Using triangle angle sum theorem that sum of measures of all the angles of a triangle is 180°
=> m∠A + m∠B + m∠C = 180°
Substituting values of m∠A = 35° and m∠B = 65°
=> 35° + 65° + m∠C = 180°
=> 100° + m∠C = 180°
=> m∠C = 180° - 100°
=> m∠C = 80°
Hence the measure of angle C is 80°
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