Question

One angle of a parallelogram measures 80°. Find the measure of its remaining angles. ​

Answer 1

Step-by-step explanation:

↪➡ 80° + angle B = 180°. ↪➡ angle B = 180° - 80°. ↪➡ angle B = 100°. ↪➡ Opposite angles of parallelogram are equal.

Answer 2

Answer:

Remaining angles are 80° , 10° , 10°

Step-by-step explanation:

Given :

One angle of the parallelogram = 80°

Sum of all angles of the parallelogram = 180°

To find :

The measure of remaining angles

Taken :

So , the two angles of the parallelogram are adjacent . So , the other angles is 80° .

Let the rest angles be x

$\boxed{\rm{{80}^{\circ}+{80}^{\circ}+x+x={180}^{\circ}}}$

So , the value of x will be the remaining angles .

Solution :

$:\implies\rm{{80}^{\circ}+{80}^{\circ}+x+x={180}^{\circ}}$

$:\implies\rm{{160}^{\circ}+2x={180}^{\circ}}$

$:\implies\rm{2x={180}^{\circ}-{160}^{\circ}}$

$:\implies\rm{x=\cancel{\dfrac{{20}^{\circ}}{2}}}$

$:\implies\rm{x={10}^{\circ}}$