Find the measures of the numbered angles in the isosceles triangle

Mathematics

2 answers:

Damm [24]3 years ago

8 0

Answer:

As you noted, ∠PRS=80°. Take the triangle △TRS: we know two angles out of three, so that ∠TSR=45°. Now take the isosceles triangle △PTS: the two angles adjacent to the base PT are equal to 35°, so the third angle ∠PST=110° and then ∠PSR=65°. This is one of the two angles adjacent to the base of an isosceles trapezoid: knowing it, you can easily complete the solution.

Lady_Fox [76]3 years ago

7 0

Answer:

Ange 1 is 52, Angle 2 is 128, Angle 3 is 128

Step-by-step explanation:

All angles in a trapezoid add up to 369. In the isoceles trapezoid, non- adjacent angles are supplementary and angles on the same side are equal to each other.

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