Answer :

The measure of the angles shown is 90 degrees

Lines and angles

A line is defined as the shortest distance between two points while the point where two lines meet is known as an angle.

From the given diagram, the sum of both adjacent angles is supplementary to have:

x + 96 + 96 + x = 180

2x + 192 = 180

2x = 180 - 192

2x = -12

x = -6

Substitute the value of x into the expression

<d = x + 96

<d = -6 +96

<d = 90 degrees

Hence the measure of the angles shown is 90 degrees

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