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Please solve with working much appreciated

Please solve with working much appreciated-example-1
User Unii
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1 vote

Answer:

x = 85

Explanation:

There are two triangles. For the purpose of communication, I label them as right triangle and acute triangle.

All triangles' interior angles must add to 180°.

Since we already have two of the three angles in the acute triangle, we can find the third angle, which I label as "y":

180° = 25° + 60° + y

180° = 85° + y

180° - 85° = 85° - 85° + y

y = 95°

Supplementary angles are angles that add to 180°. This is true of any straight lines.

In this question, the angles x and y are supplementary because they make up a straight line.

x + y = 180°

x + 95° = 180°

x = 85°

Without all these steps, we can also figure out that x = 85 by adding 60° and 25° because the sum of a triangles' two interior angles are equivalent to the supplementary of the third angle.

User Bobby Durrett
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