What is the measure of angle x?

➷ First find the angle on the opposite side of x.

We can find this using the rule that angles on a straight line equal 180 degrees

180 - (90 + 47) = 43

Vertically opposite angles are equal

Therefore, x would also be 43 degrees.

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x=43

Step-by-step explanation:

The angle between x and 47 is a right angle because it is a vertical angle to the right angle and vertical angles are equal.

Starting with x, we add x + the right angle +47 and we have a straight line.  We know straight lines are 180 degrees

x + 90 + 47 = straight line

x+ 137 = 180

Subtract 137 from each side

x+137-137 = 180-137

x = 43