Question

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509
1. Anexterior angle of a triangle is of measure 70' and one of its interior opposite
angles is of measure 25º. Find the measure of the other interior opposite
angle.
2. The two interior opposite angles of an exterior angle of a triangle are 60 and
80. Find the measure of the exterior angle.
3. Is something wrong in this diagram (Fig 6.12)? Comment.
500 50°
Fig 6.12​

Answer 1

Answer:

The measure of the other interior angle is 45°

Step-by-step explanation:

Given : Exterior angle of triangle is 70°

One of its interior opposite angles is 25°

To Find :Find the measure of the other interior angle.

Solution:

Let the measure of the other interior angle be x .

Exterior angle property of triangle : The sum of measures of two opposite interior angles of triangles is equal the measure of exterior angle.

So, 25^{\circ}+x=70^{\circ}25

∘

+x=70

∘

x=70^{\circ}-25^{\circ}x=70

∘

−25

∘

x=45^{\circ}x=45

∘

Hence the measure of the other interior angle is 45°