Question

Q-1) Measure of one of the angles of a parallelogram is 70°. What is the measure of its adjacent angle?

please give me correct answer​

Answer 1

$\succ$In a parallelogram, the adjacent angles are co-interior and the opposite angles are equal. So if one angle is 70°, the angle opposite to this angle is 70°. And the angle adjacent to this angle is supplementary to it. Therefore, the angles of the parallelogram are 70°, 110°, 70° & 110°.

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Answer 2

Given,

$\[\angle x = 70^\circ \]$

Solution,

Consider the two adjacent angle of parallelogram are x and y.

The sum of two adjacent angle is $\[180^\circ \]$

$\[\begin{array}{l}\angle x + \angle y = 180^\circ \\ \Rightarrow 70^\circ + \angle y = 180^\circ \\ \Rightarrow \angle y = 110^\circ \end{array}\]$

Hence the adjacent angle is $\[110^\circ \]$