In the figure (not drawn to scale), ABC is an
equilateral triangle and ABD is an isosceles
triangle with DA = DB, find x.
С
D
88°
А
B
Answers
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9
Answer:
Angle x = 14°
Step-by-step explanation:
Given that ∆ ABC is an equilateral triangle
=> Angle A = Angle B = Angle C = 60°
In a ∆ DAB ,
DA = DB (Given)
=> Angle ABD = Angle DAB angles opposite to equal sides are also equal
Sum of all angles of triangles = 180°
=> Angle ABD + Angle DAB + 88° = 180°
=> Angle ABD + Angle DAB = 92°
=> Angle ABD = Angle DAB = 46°
=> Angle B = angle x + angle ABD = 60 °
=>Angle x + 46 ° = 60°
=> Angle x = 14 °
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