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scZoUnD [109]
2 years ago
8

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.
Mathematics
1 answer:
lukranit [14]2 years ago
5 0

Answer: The measure of the vertex angle = 80°

Step-by-step 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=\dfrac{210}{14}=15'

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

Hence, The measure of the vertex angle = 80°

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