Question

In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle. A straight line is shown and is marked with three angles. The first angle measures 60 degrees. The second angle measures 60 degrees. The third angle is labeled y. The line between the 70 degree angle and angle y extends below the straight line. The angle formed is labeled angle x. Write and solve an equation to determine the measure of angle x.

Answer 1

• The value of x is 50°.

Explanation:

We know that:

• x = y
• 2(70 + 60) + x + y = 360

Work:

• 2(130) + x + x = 360
• => 260 + 2x = 360
• => 2x = 360 - 260
• => 2x = 100
• => x = 50

Hence, the value of x is 50°.

Hoped this helped.

`BrainiacUser1357`

Answer 2

x =50° , y = 50°

we know that angles on a straight line equals to 180°

here,

y + 70° + 60° = 180° ( as lies on straight line )

y = 180° - 70° - 60° ( changing sides, changes the sign + to - and - to positive )

y = 50°

we can see y = x as they are parallel to each other

so x = 50°