In a certain triangle, one angle has a measure of 30° and another angle has a measure of 120°. if the triangle is isosceles, then which of the following could be the measure of the third angle?

a. 120°
b. 60°
c. 30°
d. 75°

The answer is C because an isosceles triangle got up to 180 degrees and 120 + 30 is 150 and 150 + 30 is 180 so therefore your answer is C

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.