Determine the value of x, y, and z in the diagram below. 62° хо z°

Question

A. x=90°,y=45°,z=90°
B. x=90°,y=62°,z=118°
C. x=90°,y=31°,z=59°
D. x=90°,y=31°,z=118°

Answer 1

To find the values of x, y, and z, we can use the fact that the sum of angles in a triangle is 180°.

Since x and z form a straight line with an angle of 62°, we know that x + 62° + z = 180°. This gives us x + z = 118°.

Now, since y is an interior angle with z, we know that y + z = 180°. Therefore, y + 62° = 180°, which gives us y = 118°.

Therefore, x=90°, y=118°, and z=90°.

So, the correct answer is B. x=90°, y=118°, z=90°.