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 measur

Question

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.

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Delwyn 5 months 2021-08-09T14:16:17+00:00 1 Answers 5 views 0

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  1. kimchi2
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    2021-08-09T14:17:49+00:00
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    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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