Question

The vertical angle of an Isoscesles triangle measures (5t-18)° and one of the base angles measures 3t. Find t.​

Answer 1

Answer :-

The value of t is 18.

Step-by-step explanation :-

To Find,

• The value of t

Solution,

Figure,

• Refer the attachment.

Given that,

• Vertical angle of an isosceles triangle = ( 5t - 18 )°
• One of the base angle is = 3t

As we know that,

The base angles of an isosceles triangle are equal.

So, the other base angle of triangle is 3t,

By angle sum property of triangle, We know that,

Sum of all angles of triangle = 180°, therefore

( 5t - 18 )° + 3t + 3t = 180°,

Therefore,

» 5t - 18 + 3t + 3t = 180

» 5t + 3t + 3t = 180 + 18

» 8t + 3t = 198

» 11t = 198

» t = 198 / 11

» t = 18 ★

The value of t is 18.