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10. ABD is a straight line. ABC is an isosceles triangle, where AC=BC. Find the size of the angle x.

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10. ABD is a straight line. ABC is an isosceles triangle, where AC=BC. Find the size-example-1

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4 votes

Answer:

x = 48°

Explanation:

Angle ABC = 180 - 114

= 66° (sum of adjacent angles on a straight line)

Since ABC is an isosceles triangle, angle ABC = angle BAC = 66°

x = 180 - 66 - 66

= 48° (sum of angles in a triangle)

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