Question

Q.5. In figure the value of x is
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Answer 1

Answer:

The answer is 130

Step-by-step explanation:

180-110=70

180-120=60

70+60=130

therefore x=130

Proof:

(this is due to the Triangle Exterior Angle Theorem)

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

Check:

As we know that All exterior angles of a triangle add up to 360°

We can add up 130, 110, 120 and check;

130+110+120=360

Hence proved, x=130 degrees

Answer 2

Step-by-step explanation:

as we know that sum of exterior angle is 360°

so, 120°+110°+x = 360°

230°+x = 360°

x = 360°-230°

x=130°

Or

In triangle

180°-110° = 70°

180°-120°=60°

as we know that sum of opposite interior angle is equal to exterior angle

so, 60°+70°= x

130°= x

hope it will help you