Answer:
x = 24°
Explanation:
You want the measure of angle x in the given figure.
Sum of angles
Let the angle at lower right be represented by y. Then the sum of angles in the larger triangle is ...
41° +94° +y = 180°
The sum of angles in the smaller triangle is ...
111° +x +y = 180°
Solution
Equating the two expressions for 180° gives ...
41° +94° +y = 111° +x +y
x = 41° +94° -111° . . . . . . . . . . subtract (111° +y)
x = 24°
The value of x is 24°.
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