Question

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What are the values of​ x, y, and​ z?

Answer 1

`\text{To find the values of }x,y \text{ and }z, \text{we use the theorem which states that exterior}\\\text{angle of a triangle is equal to the sum of the opposite interior angles.}`

`\text{(i) }x^o=66^o+45^o=105^o\\\\\text{(ii) }y+30^o=66^o\\\text{or, }y=36^o\\\\\text{(iii) }z+43^o=119^o\\\text{or, }z=76^o`

These all statements have the same reason and they rely on the same theorem mentioned above.