2 Answers

Ashutosh Soni · Answer 1 · 2023-05-07T15:13:15+0000

Consecutive angles are supplementary

Opposite angles are equal

Opposite angles are equal again

StuR · Answer 2 · 2023-05-12T07:21:26+0000

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

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,

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

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

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

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