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What is the value of x in the figure? Enter your answer in the box. x = Three lines creating six angles with the top left angle having a square on it indicating a right angle, the top right angle labeled as sixty one degrees and the angle between them labeled as X degrees

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hisroyal1

Three lines creating six angles

3 angles on top, 3 angles below


Since the top left angle is a right angle

It means the line that divides the top angles from the angles below is bisected by a perpendicular line.


This means the sum of the angles of the top left = 90°

Therefore, x + 61° = 90°

x = 90° – 61°

x = 29°

Answer: The value of x is 29° .

Step-by-step explanation:

Since we have given that

There are six angles with the top left angle having a square on it indicating a right angle.

The top right angle labeled as = 61°

Angle between them labeled as = X°

Since the two angles that are formed is complementary angles.

According to question, it becomes,

[tex]61^\circ+x^\circ=90^\circ\\\\x=90^\circ-61^\circ\\\\x=29^\circ[/tex]

Hence, the value of x is 29° .

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