Question

Study the diagram of circle B. Points C, R, and V lie on circle B. The radius, BC¯¯¯¯¯¯¯¯, and the diameter, VR¯¯¯¯¯¯¯¯, are drawn. Arc CR has a measure of 90∘. If m∠VBC=(3x+4)∘, what is the value of x?

Answer 1

Answer:

D. x ≈ 31.3°

Step-by-step explanation:

The triangle CBV is angled triangle with right angle at ∠VBC.

Since  ∠VBC = (3x-4) °

To get the value of x, we will equate the angle  ∠VBC to 90°

This results into (3x-4) ° = 90

Simplifying the resulting equation;

3x-4 = 90

Adding 4 to both sides;

3x-4+4 = 90+4

3x = 94

Dividing both sides by 3

3x/3 = 94/3

x = 31.33°

x ≈ 31.3°