Acertain triangle has two 45 angles. what type of triangle is it?
a. acute scalene
b. right scalene
c. right isosceles
d. acute isosceles

C. Right isosceles

Step-by-step explanation:

In Acute scalene triangle, all angles are acute ( less than 90 degrees ) and different,

In Right scalene triangle, two angles are acute and different, while, the third angle is of 90°.

In Right isosceles triangle, two angles are acute and equal, while, the third angle is of 90°.

In Acute isosceles, all angles are acute in which any two angles are equal.

Now, given,

The two angle of the triangles are 45° and 45°,

Let x be the third angle,

⇒ x + 45° + 45° = 180°

⇒ x + 90° = 180°

⇒ x = 90°

Hence, the angles of given triangle are 45°, 45° and 90°,

By the above definitions,

It is clear that, given triangle is right isosceles.

Option C is correct.

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