Question

.ABCD is a parallelogram. If angle A is equal to 45°, then find the measure of its adjacent angle.​

Answer 1

Answer:

180-45 =135 ....adjacent angles of parallelogram are supplementary

Answer 2

Solution :-

given that, ABCD is a parallelogram .

→ ∠A = 45°

So,

→ ∠C = 45° { Opposite angles of a parallelogram are equal equal in measure . }

now,

→ ∠A + ∠B = 180° { Adjacent angles of a parallelogram are supplementry. }

→ ∠B = 180° - ∠A

→ ∠B = 180° - 45°

→ ∠B = 135°

then,

→ ∠B = ∠D { Opposite angles of a parallelogram are equal equal in measure . }

→ ∠D = 135° .

therefore,

• ∠A = ∠C = 45°
• ∠B = ∠D = 135°

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