In the following figure EF || GH. Then, the measure of ∠x is equal to
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Given: the line EF is parallel to the line GH.
To find: the measure of ∠x is equal to?
Explanation:
as given to us line EF is parallel to GH and line FH is acts as an interior angle that is also called a transverse line because When a transversal cuts two parallel lines, several angles are formed by these two intersections.
From interior angle, we can write,
co-interior angles, ∠EFH +∠FHG = 180°
Now,
∠EFH+∠FHO+∠OHG = 180°
120 °+ x° + 30° = 180°
∠x° = 30°
Hence the measure of ∠x° is equal to 30°
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