Question

A diagonal of a parallelogram forms 25° and 35° angles with sides of parallelogram. Find the angles of the parallelogram.

Answer 1

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°.