3 points The measure of the vertex angle of an isosceles triangle is 120 degrees. What is the measure of the base angle? O 30 de

Question

3 points
The measure of the vertex angle of an isosceles triangle is 120 degrees. What is the measure of the base angle?
O 30 degrees
0 40 degrees
O 35 degrees
O 60 degrees

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Alaia 1 week 2021-09-09T11:01:00+00:00 1 Answer 0

Answers ( )

    0
    2021-09-09T11:02:20+00:00

    Answer:

    a) The measure of the base angle is  30°.

    Step-by-step explanation:

    The angle formed by the vertex of two equal sides in an isosceles triangle is called a VERTEX ANGLE.

    Also, the other two base angles are equals they are opposite to equal sides.

    Now, let us assume that the base angle = a

    So, by ANGLE SUM PROPERTY:

    Sum of all angles of  triangle = 180°

    120° + a  +  a = 180°

    or, 2 a = 180 -120  = 60°

    or, a   = 60/2  = 30°

    or, a  = 30°

    Hence, the measure of the base angle is  30°.

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