Question

Two adjacent angles of a parallelogram are (4x - 15)° and (5x – 3)º.
Find the measure of all angles of the parallelogram.​

Answer 1

Answer:

∠73° ,∠107° ,∠73° ,∠107°

Step-by-step explanation:

Sum of adjacent angles are 180 °.

⇒ 4$x$ - 15 + 5$x$ - 3 = 180

⇒ 9$x$ - 18 = 180

⇒ 9$x$ = 198

⇒ $x$ =22

So, the opposite angles are equal .

Hence,  measure of all angles of the parallelogram are ∠73°, ∠107°, ∠73°, ∠107°.