Question

Angle

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98
85
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Angles - Check My Underst

Answer 1

x = 13°

Explanation:

Check the diagram attached below to see how the angles labelled A and B, which are interior angles of the triangle where x is found.

Let's find the measure of angle A and angle B.

m<A = 85° (vertical angles are congruent)

m<B = 180° - 98° = 82° (corresponding angles/supplementary angles)

Thus:

x + A + B = 180° (sum of interior angles of a ∆)

x + 85° + 82° = 180° (substitution)

x + 167 = 180

x = 180 - 167 (Subtraction property of equality)

x = 13°