Question

Work out the size of angle x

Answer 1

Let's take this problem step by step:

For the angle adjacent to the exterior angle of 126°:

  ⇒ exterior angle plus the that angle is equal to 180 degrees

      ⇒ since it is on a straight line

                 $126 + that_.angle=180\\\rm \hookrightarrow that.angle=180-126\\\rm \hookrightarrow that.angle=54$

The sum of all the angles in a triangle is: 180°

                $that.angle+43+x=180\\\rm \hookrightarrow 54+43+x=180\\\rm \hookrightarrow 97+x=180\\\rm \hookrightarrowx=83$

The size of angle x is 83°

Answer: 83°

Hope that helps!

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Answer 2

Answer:

x =83

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

x+43 = 126

Subtract 43 from each side

x = 126 -43

x =83