ABC is isosceles. Angles B and C are congruent. If m∠B = (5x + 5)° and m∠C = (7x - 25)°, Find m∠A.

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09-04-2017
Mathematics

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ABC is isosceles. Angles B and C are congruent. If m∠B = (5x + 5)° and m∠C = (7x - 25)°, Find m∠A.

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irspow irspow · Answer 1 · 2017-04-09T01:20:08+02:00

irspow irspow

09-04-2017

If B and C are congruent they are equal, so:

5x+5=7x-25

-2x=-30

x=15

So B=C=(5(15)+5)=80°

Since the angles must sum to 180° for any triangle...

A=180-2(80)=20°

So angle A is 20°

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khalil5 khalil5 · Answer 2 · 2017-04-09T01:43:32+02:00

khalil5 khalil5

09-04-2017

Angle A is twenty degrees

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