Question

Hoping for the answer to this pls, thank you :)

Look at the parallelogram below.
Work out the size of angle KGH.
Give your answer in degrees (°).
38⁰
G

Answer 1

142 degrees

Explanation:

We know that a parallelogram interior angles all have to add up to 360 degrees.

Opposite angles are congruent, and we know that 2 angles must be acute (and congruent) and 2 angles must be obtuse (and congruent).

This means that 2 angles also have to be supplementary.

In this case,

JKG and KGH have to be supplementary, meaning we can write an equation:

180=38+x

subtract 38 from both sides

142=x

So, KGH is 142 degrees.

Hope this helps! :)