This triangle has one side that lies on an extended line segment.

Based on this triangle, what statement about x is true?

Responses

x = 33 because 180−147=33

x, = 33 because , 180 minus 147 equals 33

x = 62 because 147−85=62 and 85 + 62 = 147

x, = 62 because , 147 minus 85 equals 62, and 85 + 62 = 147

x = 95 because 180−85=95 and 85 + 95 = 180

x, = 95 because , 180 minus 85 equals 95, and 85 + 95 = 180

x = 118 because 180 − 147 + 85 = 33 + 85 = 118

In a triangle one side that lies on an extended line segment, statement about x is true, x = 62 because 147−85=62 and 85 + 62 = 147. So Option B is correct

What is a triangle?

In mathematics, the triangle is a type of polygon which has three sides and three vertices. the sum of all the interior angles of the triangle is 180°

Given that,

A triangle, which has one interior angle 85° and one exterior angle 147°

Another exterior angle x = ?

It is already known that,

Sum of complementary angles are 180

So,

⇒ Y + 147 = 180

⇒ Y = 180 - 147

⇒ Y = 33

sum of all the interior angles of the triangle is 180°

X + Y + 85 = 180

X = 180 - 85 - 33

X = 62

Hence, the value of x is 62

To know more about triangles check:

https://brainly.com/question/2773823

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