Question

Question 6(Multiple Choice Worth 2 points)

(Interior and Exterior Angles MC)
For triangle XYZ, mzX = (3g + 19)° and the exterior angle to LX measures (69 +53)°. Find the measure of ZX and its exterior angle.
O Interior angle = 55°; exterior angle = 125°
O Interior angle = 125°, exterior angle = 55°
O Interior angle = 53°; exterior angle = 121°
O Interior angle = 121°, exterior angle = 53°

Answer 1

The measure of ZX is 58° and its exterior angle is 122°.

Step-by-step explanation:

First, we know that the sum of the angles in a triangle is 180°.

Given that mzX = (3g + 19)° and the exterior angle to LX measures (69 + 53)°, we can solve for the value of g.

Using the sum of the angles, we can set up the following equation:

(3g + 19) + 69 + 53 = 180

Simplifying the equation, we get:

3g + 141 = 180

Subtracting 141 from both sides:

3g = 39

Dividing both sides by 3:

g = 13

Now, we can find the measure of ZX by substituting the value of g into the given equation:

ZX = (3g + 19)° = (3(13) + 19)° = 58°

The measure of ZX is 58°.

The measure of the exterior angle to ZX can be found by subtracting the interior angle from 180°:

Exterior angle = 180° - 58° = 122°

The exterior angle to ZX measures 122°.

Learn more about Triangle angles