## (ii) A ABC is an equilateral triangle. A ACD is an isosceles triangle with AC = CD, ZCAD = 5x + 15°. Find x. ​

Question

(ii) A ABC is an equilateral triangle.
A ACD is an isosceles triangle with AC = CD, ZCAD = 5x + 15°. Find x.

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1 month 2021-08-20T05:44:08+00:00 2 Answers 0 views 0

1. Step-by-step explanation:

Given A ABC is an equilateral triangle. A ACD is an isosceles triangle with AC = CD, angle CAD = 5x + 15°. Find x

• Angle ABC is an equilateral triangle.
• Angle ACD is an isosceles triangle
• Also AC = CD
• Given angle CAD = 5x + 15 at point C
• So angle ABC = angle ACB = 60 degree
• We have at point C we get
• So 5x + 15 + 60 = 180
•      5x + 75 = 180
•      5x = 180 – 75
•       5x = 105
•      Or x = 105 / 5
•     Or x = 21 degree