Question

in triangle abc ab=ac and angle b = 50 degree . then find angle c​

Answer 1

Answer:

Given:AB=AC,angle B=50 degree

Since,AB=AC

angle B=angle C=50 degree (angles opposite to equal sides are equal).

Answer 2

Given: In triangle abc, ab=ac and angle b = 50 degree.

To find: The value of angle c.

Solution:

• If ab is equal to ac in the given triangle, then the triangle is isosceles.
• An isosceles triangle has its two sides the same in length and also has two angles the same.
• If one angle is 50 degrees, then the other two angles must be the same.
• The sum of the three angles of a triangle is equal to 180 degree.

        $a + b+c = 180$

• So, each of the other two angles can be calculated as follows,

        $\frac{180 - 50}{2} = 65$

Therefore, angle c is 65 degrees.