A side of the triangle below has been extended to form an exterior angle of 157°. Find the value of x
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Answer:
x=67
Step-by-step explanation:
180-157 = 23
180-90-23 = 67
x = 67
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°.