Question

The two angles of a quadrilateral are 70° and 110°. If out of the two remaining angles, one angle is 20°
more than the other, find the two angles.

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Answer 1

• Let one of the remaining angle be'x'.
• Other angle = x + 20

Need To find:-

• The two angles.

Solution:-

Given that

• The two angles of a quadrilateral are 70° and 110°.
• Out of the two remaining angles, one angle is 20°

We know,

• Sum of all interior angles add up to 360°.

So,

→70+110 + x + x+20 = 360

→200 + 2x = 360

→2x = 360-200

→2x = 160

→x = 80°

• Other angle = x + 20

→x + 20 = 80 + 20  

          = 100°

Hence

• The two angles are 80° & 100°

__________________________

Answer 2

Step-by-step explanation:

Correct option is

B

105

Applying angle sum property of quadrilaterals

70

+ 80

+x+x=360

or 2x=210

or x=

2

210

=105