Question

If ×°:z° = 2:3 and y = 80°, find x.

a) 40°
b) 60°
c) 20°
d) 120°

Answer 1

The value of x is approximately 53.33°. The correct answer is not provided in the given options.

Step-by-step explanation:

To find the value of x, we can set up a proportion using the given information. The ratio ×°:z° is given as 2:3. This means that the measure of ×° is two-thirds of the measure of z°. We are also given that y is equal to 80°.

To find x, we need to determine the value of ×°. Since the ratio ×°:z° is 2:3, we can set up the proportion:

×° / z° = 2 / 3

Substituting the given value of y = 80° for z°, we have:

×° / 80° = 2 / 3

To solve for ×°, we can cross multiply:

3 × ×° = 2 × 80°

3 × ×° = 160°

Now, we can solve for ×° by dividing both sides of the equation by 3:

×° = 160° / 3

×° ≈ 53.33°

Therefore, the value of x is approximately 53.33°. The correct answer is not provided in the given options.