Question

Triangle A is an isosceles triangle with two angles of measure x degrees and one angle of measure y degrees.

1. Find three combinations of x and y that make this sentence true.

2. Write an equation relating x and y.

3. If you were to sketch the graph of this linear equation, what would its slope be?

Answer 1

• See below

Explanation:

1.

Angle combinations:

• x, y , x;
• x, x, y;
• y, x, x

2.

Sum of angles:

• x + x + y = 180 ⇒ 2x + y = 180

3.

Linear equation:

• 2x + y = 180 ⇒ y = - 2x + 180

The slope is - 2.