Math, asked by viddhyanidhi2767, 11 months ago

Sum.Of two oppositeangle of a parallelogram is 130. Find the measure of each angle

Answers

Answered by kunalsarkarblg
0

Answer:65°


Step-by-step explanation:let, the angles be x° each

∴2x=130°

⇒x=65°

∴each angle = 65°


Answered by rajeev378
3
\huge\red{Hi\: Friend}

Here is your answer

Let the ABCD is parallelogram

/_A + /_C = 130

As opposite angles of the parallelogram is equal hence
/_ A = /_ C = 130/2 = 65°

Now
Let. /_B = /_D = x °

As Sum of all angles of a parallelogram is 360
x + x + 130 = 360 \\ 2x = 360 - 130 \\ 2x = 230 \\ x =  \frac{230}{2}  \\ x = 115
Therefore each angles of the parallelogram are
/_ A = 65°
/_ B = 115°
/_ C = 65°
/_ D = 115°

<marquee>Hope it helps you

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