Question

10. The exterior angle and one interior opposite angle of each triangle are given here respectively
interior opposite angle and the third angle of each triangle.
(i) 120°, 45°
(ii) 950, 350
(iii 58°, 20°
(iv) 130°, 60°
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Answer 1

Solution 1 :-

Given :-

Here, exterior angle is 120°

one interior opposite angle is 45°

As we know that , two opposite interior angles opposite angles is equal to exterior angle.

Let another interior opposite angle be x

x + 45° = 120

x = 120° - 45°

x = 75 °

Therefore, another interior opposite angle is 75°

Solution 2 :-

Given :-

Here, exterior angle is 950°

One interior opposite angle is 350°

As we know that, Two interior opposite angles are equal to the exterior angle.

Let another interior angle be x

x + 350° = 950°

x = 950° - 350°

x = 600°

Therefore, another interior angle be 600°

Solution 3 :-

Given :-

Here, exterior angle is 58°

One interior angle is 20°

As we know that, Two interior opposite angles are equal to the exterior angle.

Let another interior angle be x

x + 20° = 58°

x = 58° - 20°

x = 38°

Therefore, another interior angle be 38°

Solution 4 :-

Given :-

Here, exterior angle is 130°

One interior angle is 60°

As we know that, Two interior opposite angles are equal to the exterior angle

Let another angle be x

x + 60° = 130°

x = 130° - 60°

x = 70°

Therefore, another interior angle be 70°