Need help with this math question

1 answer:

Ugo [173]3 years ago

5 0

ANSWER

$x = 140 \degree$

EXPLANATION.

The two tangents each meet the radius at 90° each.

This implies that,

$x + 40 + 90 + 90 = 360$

The sum of interior angles of a Quadrilateral is 360°

We simplify to get

$x + 40 = 180$

$x = 180 - 40$

$x = 140 \degree$

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analyzing the options:

A. A polygon is a very general definition (polygon is a figure with 3 or more sides) so it does not specifically describe a rhombus.

B. This option is much more specific to a rhombus than the other two options because it mentions that it is a quadrilateral so it reduces the generality of calling it a polygon, and it also mentions that there are 2 pairs of equal sides which is true for the rhombus (the top and bottom sides are equal, and the sides are also equal). So this option is correct.