211k views
2 votes
Find angle measure x on each given figure. (Lessons 9.2, 9.4, 9.5)

Find angle measure x on each given figure. (Lessons 9.2, 9.4, 9.5)-example-1
User Flyandi
by
6.1k points

1 Answer

4 votes

1. x = 60 (in this trapezoid, opposite angles are equal)

2. Find the third angle of the left triangle : 180 - 17 - 133 = 30
In a parallelogram, the side that is opposite to a side is parallel to each other.

x and the 30 degree are alternate angles -> x = 30

3. (I'll call the 4 triangles A,B,C,D respectively in anticlockwise)

Triangle A has the 25 degree angle, and the bottom right angle of triangle C, they are alternate angles (and the sides are parallel due to the property.)

So, the bottom right angle of triangle C = 25

Triangle C and D form an isoceles triangle, so x = 25.


4. This one I'll just do short. There's a right angle in the triangle that contains x.

3 angles in a triangle add up to 180, so x = 180 - 90 - 50 = 40.

User Mohamed NAOUALI
by
5.0k points