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yKpoI14uk [10]
2 years ago
13

The quadrilateral shown is a trapezoid with one pair of parallel sides. If m<1 = 90' and m<3 = 160, what is m<2 + m<

4?

Mathematics
1 answer:
Keith_Richards [23]2 years ago
4 0

Step-by-step explanation:

the sum of all internal angles of any quadrilateral has to be 360°.

like in rectangles (4×90 = 360).

in this trapezoid 2 of the rectangle angles are just a little bit distorted : one angle gets more, which it takes from the other. but together these 2 angles must be 180°, as the remaining 2 angles are "normal" rectangle angles of 90°.

therefore

180 = angle 3 + angle4 = 160 + angle4

angle4 = 180 - 160 = 20°

and therefore,

angle2 + angle4 = 90 + 20 = 110°

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