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Can anyone answer this question?
It's confusing and i'd like explanation as well!

Can anyone answer this question? It's confusing and i'd like explanation as well!-example-1

1 Answer

2 votes

Answer:

D. 286 deg

Explanation:

Think of both triangles as just one single large triangle.

The exterior angles at the bottom have measure 127 deg.

That means the two interior angles at the bottom have measure

180 deg - 127 deg = 53 deg

The measures of the interior angles of triangle add to 180 deg.

The upper interior angle has measure:

180 deg - 53 deg - 53 deg = 74 deg

A full circle has 360 degrees.

Angle r is a full circle minus the upper interior angle of the combined triangle.

r = 360 deg - 74 deg

r = 286 deg

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