Question

-D 2.
Find the value of 'x' in the given figures:​

Answer 1

Answer: x = 45

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Work Shown:

The smaller pieces x, 65 and (2x-20) combine to form a straight line. So the smaller angles add to 180 degrees

x+65+(2x-20) = 180

3x+45 = 180

3x = 180-45

3x = 135

x = 135/3

x = 45

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Extra info:

Note how if x = 45, then,

2x-20 = 2*45-20 = 90-20 = 70

So the three angles are:

• x = 45
• 65
• 2x-20 = 70

As a check, the angles should add to 180

45+65+70 = 110+70 = 180

The answer is confirmed.