How to find the angle of a parallelogram with diagonals
Asked by admin @ in Mathematics viewed by 257 People
A diagonal of a parallelogram forms 25° and 35° angles with sides of parallelogram. Find the angles of the parallelogram.
Asked by admin @ in Mathematics viewed by 257 People
A diagonal of a parallelogram forms 25° and 35° angles with sides of parallelogram. Find the angles of the parallelogram.
Answered by admin @
so,
angle DAB = 25° + 35°
= 60°
now,
angle DAB + angle ADC. = 180°
or, 60° + ADC = 180°
or, ADC = 180° - 60°
Therefore, ADC = 120°
therefore, the angles of the PARALLELOGRAM are 60° and 120°.
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