Question

Triangle ABC is a right triangle.

Triangle A B C. Angle A is x degrees, B is 90 degrees, C is (x minus 10) degrees. The exterior angle to angle C is (2 x + 40) degrees.

Which equations can be used to find the value of x? Check all that apply.
x + 90 + (x minus 10) = 180
x + 90 + (2 x + 40) = 180
2 x + 80 = 180
x + 90 = 2 x + 40
(x minus 10) + 90 = 2 x + 40

Answer 1

A) X+90+ (x-10) - 180

C) 2x+80 = 180

D) x+90 = 2x+40

I just took the quiz on edge

Answer 2

The equations that can be used to the value of x are 1) x+90+(x-10)=180 and 2) x+90+(2x+40)=180.

Explanation:

Two properties can be used to find the value of the x.

1) Sum of Interior angles of a triangle is 180°.

⇒x+90°+(x-10)°=180.

2x+80°=180°.

2x=180°-80°.

2x=100°.

x=50°.

⇒(x-10)°=40°.

2) The Angle of the straight line is 180°.

From the given diagram, BC is a straight line ray with C as intersecting point. this will result in two angles. (refer the diagram).

The sum of those two angles will be 180°.

⇒ (x-10)°+ (2x+40)°=180°.

(3x+30)°=180°.

3x=150°.

x=50°.

∴(x-10)°=40° and (2x+40)° = 140°.

∴The equations that can be used to the value of x are x+90+(x-10)=180 and x+90+(2x+40)=180.