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ololo11 [35]
2 years ago
9

Find the value of x in the diagram below. x =

Mathematics
2 answers:
padilas [110]2 years ago
7 0

Answer:

x = 79°

Step-by-step explanation:

The arrows on the line segments indicate that the lines are <u>parallel</u>.

As the parallel line segments are the <u>same length</u>, the other pair of opposite line segments are also parallel and the same length.  Therefore, we can apply the Alternate Interior Angles Theorem.

<u>Alternate Interior Angles Theorem</u>

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

Therefore, the missing angle in the triangle including angle x is 28°.

Interior angles of a triangle sum to 180°

⇒ 73° + 28° + x = 180°

⇒ x = 180° - 73° - 28°

⇒ x = 79°

zepelin [54]2 years ago
3 0

Answer:

x=101

Step-by-step explanation:

Fun angles......................

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