A side of the triangle below has been extended to form an exterior angle of 121°. Find the value of xx.

121°

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
11 months ago

To find the value of x, we can use the property that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles.

Let's call the two opposite interior angles a and b.

The sum of the measures of the exterior angle and the two opposite interior angles is 180° (since the angles in a triangle add up to 180°).

So we can write the following equation:

121° + a + b = 180°

To find the value of x, we need to solve for a or b. Let's choose to solve for a.

First, subtract 121° from both sides of the equation:

a + b = 180° - 121°

a + b = 59°

Now, we can substitute the value of a in terms of x using the given information that x is an interior angle:

a = x°

So we have:

x° + b = 59°

To solve for x, subtract b from both sides of the equation:

x° = 59° - b

Therefore, the value of x is 59° - b.

anonymous anonymous answered
11 months ago

wrong.