Question

one of the exterior angles of an isosceles is 30 degrees how big are the other two

Answer 1

Answer:

Notice that in an isosceles triangle there are at least two congruent angles. Also, as in all triangles, the sum of the angles is 180°.

If we say the vertex angle is x°, we can say that each base angle is (x+30)°. We know that the angles' sum is 180°, so we can write the following equation relating each of the angles:

x+(x+30)+(x+30)=180

We can then solve for x and determine that 3x+60=180, which leads to 3x=120 and finally x=40, so the vertex angle is 40° and each base angle is 70°.

Step-by-step explanation:

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Answer 2

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