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22 votes
Find the value of the unknown angle x.

The diagram is not drawn to scale.

Please answer. Thank you!

Find the value of the unknown angle x. The diagram is not drawn to scale. Please answer-example-1
User Vernita
by
3.0k points

2 Answers

24 votes
24 votes

Answer:

Angle x = 40°

Explanation:

All angles of any quadrilateral sum up to 360°.

So here, already measure of 3 angles are given.

So if we add up all angles + Angle x then it sums up to 360°.

So, the following steps will lead you to the answer:

73° + 157° + 90° + Angle x = 360°

(Now add up the measure of the three given angles)

320° + Angle x = 360°

(Now, through transposition moves 320° to the RHS) (Remember when transposing the signs change)

Angle x = 360° - 320°

Finally,

Angle x = 40°

Hope it helps!!!

User Mehul Joisar
by
2.1k points
25 votes
25 votes

Answer:

  • x = 40°

Explanation:

This is a quadrilateral. A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.

The interior angles of a simple quadrilateral ABCD add up to 360 degrees of arc.

Find the value of the unknown angle x. The diagram is not drawn to scale. Please answer-example-1
User Mcbetz
by
2.6k points