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A side of the triangle below has been extended to form an exterior angle of 157°. Find the value of x

A side of the triangle below has been extended to form an exterior angle of 157°. Find-example-1

2 Answers

3 votes

Answer:

Recall ...

Angles on a straight Line Total to 180°

So

The angle at the Tip of the triangle = 180-157

=23°.

Now 23 is a part of the triangle...

Recall also..

Total angles in a triangle also Total to 180°.

Now that's a Right angled Triangle...

There's the 90° Angle present

So Total angle =

90° + x° + 23° =180

x=180° – (23+90)

x=67°.

User Randomtheories
by
3.9k points
4 votes

Answer:

x=67

Explanation:

180-157 = 23

180-90-23 = 67

x = 67

User Williams
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3.0k points