Work out the size of angle x and give reasons for your answer. image attached.

x= 80 degrees

Step-by-step explanation:

because every angle on a horizontal line is 180 degrees, if the cd angle is 100, angle x would equal 80 due to it being congruent to the angles above it

x = 80

Step-by-step explanation:

Lines AD and EH are parallel. They are also cut by a transversal, line CG. Angle CBD is equal to 100 degrees. According to the Corresponding Angles Postulate, If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. This tells us that angle DFH (the one next to our "x" angle) is 100 degrees. Because line EH is cut by a transversal, we can confirm that our "x" angle is supplementary to angle DFH. Supplementary angles form when the sum of two adjacent angles equals 180 degrees. We can use this information to determine that our "x" angle should be equal to 80 degrees.

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step-by-step explanation:

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