Question

Refer to the figure. Barton Road and Olive Tree Lane
form a right angle at their intersection. Tryon Street forms a 57°
angle with Olive Tree Lane. What is the measure of the acute angle
Tryon Street forms with Barton Road?

Answer 1

Angles at right-angle add up to 90 degrees

The measure of acute angle Tryon Street forms with Barton Road is 33 degrees

The angle is given as:

$\mathbf{A = 57^o}$ ---- Angle formed by Tryon Street with Olive Tree Lane.

The measure of the acute angle formed by Tryon Street with Barton Road (B) is calculated using:

$\mathbf{A + B = 90}$ ---- angle at right-angle

Make B the subject

$\mathbf{B = 90 - A}$

Substitute 57 for A

$\mathbf{B = 90 - 57}$

$\mathbf{B = 33}$

Hence, the measure of acute angle is 33 degrees

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