In the parallelogram PQRS, if angle P=70°, then the measure of angle S is
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In parallelogram pqrs
Angle p and angle s are co-int angles.
We know the sum of co-int angles is 180
So,p+s=180
70+s=180
S=180-70
S=110
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Given - Measure of Angle P
Find - Measure of Angle S
Solution - The measure of angle S is 110°. Assuming the angles have been named sequentially. Thus, angle P and angle S will be neighbouring angles.
As per the known fact about parallelogram, the sum of neighbouring angles is 180°. So, finding the angle S now.
Angle P + Angle S = 180°
70° + Angle S = 180°
Performing subtraction -
Angle S = 180° - 70°
Angle S = 110°
Thus, the measure of angle S is 110°.
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