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What is the value of z? ( please help)

What is the value of z? ( please help)-example-1
User Gallymon
by
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1 Answer

2 votes

Answer:

z = 1

Explanation:

See the diagram of the triangle attached to this question.

We know the property of angles of a triangle as if we sum any two interior angles then we will get the opposite exterior angle.

Hence,

42z + 37 = 40z + (26z + 13)

⇒ 42z + 37 = 66z + 13

⇒ 37 - 13 = 66z - 42z

⇒ 24 = 24z

z = 1 (Answer)

User Sabya
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5.6k points