Question

Fast m...........
Find the unknown marked angles......​

Answer 1

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Answer 2

Answer:

iii.}

x° = 135°

iv.}

x° = 110°

y° = 40°

Step-by-step explanation:

iii.}

We have,

As BC = AB, angle A = angle C. {Tri. ABC becomes isosceles triangle.}

As angle B = 90°.

Let Angle A = Angle C = y.

Now, according to Angle sum property,

Angle A + Angle B + Angle C = 180°

y + 90° + y = 180°

2y = 180° - 90°

y = 90°/2

y = 45°

So, Angle A = Angle C = 45°

Now,

x° = Angle C + Angle B. {Ex. angle property}

x° = 45° + 90°

x° = 135°

iv}

We have,

As AC = AB, Angle ABC = Angle ACB. {Tri. ABC becomes isosceles triangle.}

Now,

Angle ABC = 180° - Angle EBC

Angle ABC = 180° - 110°

Angle ABC = 70°

So, angle ABC = angle ACB = 70°.

x° = 180° - angle ACB

x° = 180° - 110°

x° = 70°

Now,

y° = Angle x° - Angle ABC. {Ex. angle property.}

y° = 110° - 70°

y° = 40°

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