Question

The measures of two angles of a triangle are 57° and 33°. Is the triangle acute, right, or obtuse? Use

geometric terms in your explanation,

Pls help !!

Answer 1

Answer & Explaination-

The triangle is a right angled triangle, because one angle of the triangle is a right angle, that is, it is exactly 90°.

Here, the measure of the two angles are given, so we can find the third angle using the angle sum property of a triangle

that is, 57° + 33° + x = 180°

= 90° + x = 180°

x = 180° - 90° = 90°

Since, the third angle is 90°, the triangle is a right angled triangle.