Question

Please, if I get this wrong I fail please help me, it will mean a lot to me

Answer 1

x = 58°

Explanation:

First, we need to find the green angle on the bottom left of the triangle.

We know that straight lines are supplementary, or equal 180 degrees, so we can say that 114° + a (a variable representing the measure of the angle) = 180°.

Equation:

114 + a = 180

Solve:

114 + a = 180

-114 -114

a = 66

Therefore, the value of the green angle is 66 degrees.

Now, we need to find the value of angle x.

We know that the sum of the angles in a triangle is 180 degrees.

So, 56° + 66° + x = 180°

Equation:

56 + 66 + x = 180

Add:

56 + 66 + x = 180

122 + x = 180

Subtract:

122 + x = 180

-122 -122

x = 58

Therefore, x is 58 degrees.

Answer 2

58

Explanation:

An exterior angle is equal to the two remote interior angles. It would be easier to understand that just by adding the numbers in an equation.

Exterior angle = 114

Remote interior angles = x and 56

exterior angle = sum of x and 56 which are the two remote interior angles.

x + 56 = 114 Subtract 56 from both sides.

x+56-56=114-56

x = 58