Question

problem 10:
(first taught in
lesson 30)
find the measures of the angles of an isosceles
o btuse triangle with one angle measuring 20.
after you enter your answer press go.

Explanation:

Step1: Determine the type of the \(20^{\circ}\) angle

Since the triangle is obtuse, the \(20^{\circ}\) angle cannot be the obtuse angle. In an isosceles triangle, two angles are equal.

Step2: Calculate the other angles

Let the equal angles be \(x\). Using the angle - sum property of a triangle (\(180^{\circ}\)), if the \(20^{\circ}\) angle is one of the equal angles, then the third angle \(y=180 - 2\times20=140^{\circ}\).

Answer:

\(20^{\circ},20^{\circ},140^{\circ}\)