fairycore
Answered

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Which one should I choose?

Which One Should I Choose class=

Sagot :

Given:

A figure of a quadrilateral.

To find:

The measures of angle 1 and angle 2.

Solution:

The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.

We know that the diagonals of a kit are perpendicular to each other at the point of intersection.

[tex]m\angle 1=90^\circ[/tex]

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

[tex]90^\circ+65^\circ+m\angle 2=180^\circ[/tex]

[tex]155^\circ+m\angle 2=180^\circ[/tex]

[tex]m\angle 2=180^\circ-155^\circ[/tex]

[tex]m\angle 2=25^\circ[/tex]

Therefore, the correct option is C.

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