1. in triangle abc, the measure of angle a is 40°.
a. give possible measures for angles b and c if triangle abc is isosceles.

Angles B and C are 60 degrees

Step-by-step explanation: The sum of a triangle is always 180 degrees. 180-40 leaves you with 120. Then 120/2 is 60.

Angles B and C are 70 degrees.

Step-by-step explanation:

The sum of three angles of a triangle is 180 degrees.

Of these angle A in triangle ABC is given as 40 degrees.

Another input is that the triangle is isosceles. This means that AB=AC or in other words, angle B and angle C are equal.

Let the angle B or angle C be represented as x degrees.

Representing this in equation format:

A + B + C = 180

=> 40 + x + x = 180

=> 2x = 180 - 40 = 140

=> x = 140/2 = 70

So both the angles B and C are 70 degrees.