The measures of the base angles of an isosceles triangle are 3x 5 and 5x - 25. The measure of the vertex angle is 6x - 10. Find the measure of the vertex angle.

Question

asked Nov 27, 2022 179k views

1 Answer

Tikeb · Answer 1 · 2022-12-01T15:32:42+0000

Answer: The measure of the vertex angle = 80°

Explanation:

Angle sum property of triangle : The sum of the measures of the angles for any triangle is 180 degrees.

So,

$3x+ 5 + 5x-25+6x-10= 180\\\\\Rightarrow\ 14x-30=180\\\\\Rightarrow\ 14x= 210\\\\\Rightarrow x=(210)/(14)=15$ '

Then, vertex angle =
6(15)-10=90-10= 80

Hence, The measure of the vertex angle = 80°