Question

the two opposite angels of a parallelogram are (3x+5) and (61-x) find the measures of all four angles

Answer 1

Solution:

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Given opposite angles = (3x + 5) and (61 -x)

We know that opposite angles of a parallelogram are equal

∴ (3x+5) = (61 - x)

⇒ 3x +x = 61 -5

⇒ 4x = 56

⇒ x = 56 /4

⇒ x = 14

So, the numerical value of the given opposite angles is

3x + 5 = 3 (14) + 5 = 42 + 5 = 47°

∵ the measure of two adjacent angles of a parallelogram is = 180°

∴ the other two opposite angles are = 180 -47 = 133°

so, all the four angles of the given parallelogram are { 47° , 133° , 47° , 133° }

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Answer 2

I hope this will help you my dear