An exterior angle of a triangle is 108° and its interior opposite angles are in the ratio 4 : 5. The angles of the triangle are

(a) 48°, 60°, 72°

(b) 50°, 60°, 70°

(c) 52°, 56°, 72°

(d) 42°, 60°, 76°

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Solution

In the given ΔABC, an exterior angle and its interior opposite angles are in the ratio 4:5.

Let us take,

Now using the property, “exterior angle of a triangle is equal to the sum of two opposite interior angles”

We get,

Thus,

Also, using angle sum property in ΔABC

Thus,

Therefore, the correct option is (a).

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Question 26

If the exterior angle of a triangle is $130^{\circ}$ and its interior opposite angles are equal, then measure of each interior opposite angle is

a) $55^{\circ}$
b) $65^{\circ}$
c) $50^{\circ}$
d) $60^{\circ}$

105^{\circ}

37 {\frac{1}{2}}^{\circ}

52 {\frac{1}{2}}^{\circ}

72 {\frac{1}{2}}^{\circ}

75^{\circ}

70^{o}

2 : 5

An exterior angle of a triangle is $108^{\circ}$ and its its ineterior opposite angles are in are in the ratio 4 : 5 . The triangle are

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