IN TRIANGLE ABC IF M ANGLE A = 76 ANGLE B = 48 then find measure of angle c.
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A+B+C=180°(sum of angle of triangle 180°)
76°+48°+C=180°
C=180°-124°
C=56°
76°+48°+C=180°
C=180°-124°
C=56°
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Given - Angle A and Angle B
Find - Angle C
Solution - As per the known facts, sum of interior angles of triangle is 180°.
Let the measure of angle C be x. So, forming the equation -
Angle A + Angle B + x = 180
Keep the values in equation to find the value of x
76 + 48 + x = 180
Performing addition to find the value of x
124 + x = 180
Shifting 124 to Right Hand Side
x = 180 - 124
Performing substraction to find the value of x
x = 56°
Hence, the measure of angle C is 56°.
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