Question

If the quadrilateral ABCD is a parallelogram, what is the value of x ?

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Answer 1

Step-by-step explanation:

Angle DCB +ANGLE CBA= 180 (SUM OF ADJACENT ANGLES IS 180)

3x+3+2x+17=180

5x+20=180

5x=160

x=160/5

x= 32

Answer 2

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x = 32°

Step-by-step explanation:

In this Question we have to find the angle x

Given

• ∠C = (3x + 3)°

• ∠B = (2x + 17)°

Solution

We know that sum of 2 adjacent Angles Of a Parallelogram Are Supplementary

Here the given Adjacent Angles are

• ∠C

• ∠B

So,

• ∠C + ∠B = 180°

• (3x + 3)° + (2x + 17)° = 180°

• 5x + 20 = 180°

• 5x = 180 - 20

• 5x = 160

• x = 160 ÷ 5

• x = 32

So, x = 32.