How many degrees in isosceles triangle

Asked by maham237 @ 05/01/2021 in Mathematics viewed by 309 People

(ASAP!!)Two base angles of an isosceles triangle measure (3x + 2) and (5x - 30) degrees. How many degrees are in the third angle of the triangle? Be sure to use the correct place value.

Answered by maham237 @ 05/01/2021

Answer:

Measure of third angle = 80°

Step-by-step explanation:

Property of an isosceles triangle,

Opposite angles of the equal sides of an isosceles triangle are equal in measure.

Since, base angles of an isosceles triangle are equal,

(3x + 2) = (5x - 30)

5x - 3x = 2 + 30

2x = 32

x = 16

Now measure of the base angles will be = (3×16) + 2 = 50°

Let the measure of third angle = y°

Since, sum of interior angles of a triangle = 180°

50° + 50° + y° = 180°

y + 100 = 180

y = 80°

Therefore, measure of third angle is 80°.

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