Question

Angle sum theory find Y

Answer 1

Answer:

25

Step-by-step explanation:

The angle sum theory says that the sum of all the interior angles in a triangle is 180 degrees.

Finding X

To solve for y, we must first find x. This way we know 2 of the interior angles. Luckily, angle x is a part of a linear pair.

• Linear Pairs are 2 adjacent angles that create a straight line together. This means that the sum to 180 degrees.

Angle x and the angle with a measurement of 115 form a linear pair. Thus, we can create an equation to find x.

• 115 + x = 180

By subtracting 115 from both sides we know that x = 65.

Solving for Y

Now that we know x, we can find y. We know that one of the interior angles is 65 and that the other is 90 degrees. The square marking the bottom angles in the middle show that they are right angles.

• Right angles are usuaslly denoted with a square drawn in the angle and have a measurement of 90 degrees.

Lastly, we can create a formula to find y with the angle sum theory.

• 90 + 65 + y = 180

Combine like terms

• 155 + y = 180

Subtract 155 from both sides

• y = 25

This means that the angle y is 25 degrees.