ABCD is a quadrilateral. Three of the angles of ABCD measure 100°, 87, and 106°, respectively. Find the measure of the

Mathematics

2 answers:

ladessa [460]3 years ago

8 0

Answer:

Step-by-step explanation:

The angles in a quadrilateral add up to 360 degrees.

100 + 87 + 106= 293

360 - 293 = 67

Setler [38]3 years ago

6 0

The missing angle is 67°. <em>(A)</em>

EVERY quadrilateral has four inside angles that add up to 360°. It doesn't matter whether the quadrilateral is the size of a strep bacterium or the size of a galaxy. The inside angles always add up to 360°. It's a quadrilateral thing.

In this question, the first three angles add up to (100°+87°+106°) = 293°.

From there, it takes 67° more to get to 360°, so that's what the fourth angle has to be.

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Step 1 of 2

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Step 2 of 2

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