A tangent and a secant x = ?

x = 45°

Solution:

Given data:

Measure of larger arc = 152°

Measure of smaller arc = 62°

If a tangent and a secant intersect at the exterior of a circle then the measure of angle formed is one-half the positive difference of the measures of the intercepted arcs.

⇒ x = 45°

The value of x is 45°.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

first one because it can't have a fraction in it

step-by-step explanation: