Use the given property of equality to complete the given statement. If a + 5 = b + 3 and a + 5 = 12, then b + 3 = ______________
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Answer:
x = 13°
Step-by-step 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°
