<u>Answer-</u>
<em>The value of x is </em><em>10</em>
<u>Solution-</u>
When two lines are crossed by another line (transversal), the angles in matching corners are called Corresponding Angles.
When the line are parallel the corresponding angles are equal in measurement.
As m and n are parallel line, so
The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of b is 50.76 units.
<h3>What are Trigonometric functions?</h3>
The trigonometric function gives the ratio of different sides of a right-angle triangle.
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.
The value of c can be found by using the cosine function of trigonometry, therefore, the value of b is,
Cos(19°) = 48/b
b = 48/Cos(19°)
b = 50.76579 ≈ 50.76 units
Hence, the value of b is 50.76 units.
Learn more about Trigonometric functions:
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