Question

Solve for x please!!!!

Answer 1

11) Since the triangle has a pair of congruent base angles, it is an isosceles triangle which means that the two pairs of legs are congruent.

Make them equal to each other in an equation.

5x = x + 20

Subtract x from both sides.

4x = 20

Divide both sides by 4.

x = 5

12) The two legs are congruent so that means the base angles must be congruent. First find the measure of the base angles. Create an equation:

x + x + 50 = 180

Combine like terms.

2x + 50 = 180

Subtract 50 from both sides.

2x = 130

Divide both sides by 2.

x = 65

Now make the base angle plus x equal 180, because they form a straight line.

65 + x = 180

Subtract 65 from both sides.

x = 115

13) You know the vertex angle (top angle) is 90 degrees because it is supplementary to a right angle. The triangle is isosceles because the two legs are congruent, so make the base angles plus 90 add up to 180 in an equation.

x + x + 90 = 180

Combine like terms.

2x + 90 = 180

Subtract 90 from both sides.

2x = 90

Divide both sides by 2.

x = 45