Question

Please any one help me ​

Answer 1

Consecutive angles are supplementary

• <A+100=180
• <A=80°

Opposite angles are equal

• <R=<P=100°

Opposite angles are equal again

• <K=<A=80

Answer 2

`\qquad\qquad\huge\underline{{\sf Answer}}♨`

Since it's a Trapezoid with its non - parallel sides equal to one another,

`\qquad \sf  \dashrightarrow \:\angle A + \angle P = 180`

[ By forming co - interior angle pair ]

`\qquad \sf  \dashrightarrow \:\angle A +100 = 180`

`\qquad \sf  \dashrightarrow \:\angle A = 180 - 100`

`\qquad \sf  \dashrightarrow \:\angle A = 80`

Now, similarly,

`\qquad \sf  \dashrightarrow \:\angle A + \angle R = 180`

`\qquad \sf  \dashrightarrow \: \angle R + 80 = 180`

`\qquad \sf  \dashrightarrow \: \angle R = 100`

Similarly,

`\qquad \sf  \dashrightarrow \angle K + \angle R = 180`

`\qquad \sf  \dashrightarrow \angle K + 100 = 180`

`\qquad \sf  \dashrightarrow \angle K = 80`