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Mathematics

If z° and (z + 50)° are supplements of each other, find the value of z.

Lines & Angles

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Answer

Supplementary angles sum = 180°

∴ z° + (z + 50)° = 180°

⇒ 2z° + 50° = 180°

⇒ 2z° = 180° - 50°

⇒ 2z° = 130°

⇒ z° = 1302\dfrac{130^{\circ}}{2}

⇒ z° = 65°

Hence, the value of z is 65°.

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