Question

Q1. Find the measure of angle 1. Show your work.

Q2. Find the measure of angle 2. Show your work.


Q3. Find x. Show your work. ​

Answer 1

Angle 1 measures 70 degrees, angle 2 measures 110 degrees, and x also measures 110 degrees.

Step-by-step explanation:

To find the measure of angle 1, we need to use the fact that angles in a triangle add up to 180 degrees. We can set up the equation: 65 + angle 1 + 45 = 180. Solving for angle 1 gives us:

angle 1 = 180 - 65 - 45

angle 1 = 70 degrees

To find the measure of angle 2, we can use the fact that angles on a straight line add up to 180 degrees. So:

angle 2 = 180 - 70

angle 2 = 110 degrees

To find the value of x, we can use the fact that opposite angles of a parallelogram are equal. So:

x = 110 degrees

Answer 2

1. 110°

2. 139°

Step-by-step explanation:

1. 180° in a triangle

180 - 40 - 30 = 110°

2. 180° in a triangle

angles on a straight line add up to 180°

180 - 64 - 75 = 41°

180 - 41 = 139°