Question

Find the measure of an isosceles obtuse triangle with one angle that is 32 degrees.

Answer 1

Answer:

The measure of angles of the triangle are 32,32 and 116.

Step-by-step explanation:

It is given that the triangle is an isosceles obtuse triangle with one angle that is 32 degrees.

An angle whose measure is more than 90 degree is called obtuse angle.

It means measure of one angle is more than 90 degree and two tangle are same acute angles.

Measure of one angle is given which is an acute angle (less than 90 degree).

Therefore the measure second angle is als 32.

According to angle sum property the sum all three angle of a triangle is 180 degree.

$180-32-32=116$

Therefore the measure of third angle is 116 degree.

To use Law of Sine and Cosine, we need at least one side. Since no side given, therefore we can not find the sides.