Question

modeling real life the map shows the intersections of three roads. malcom way intersects sydney street at an angle of 162°. park road intersects sydney street at an angle of 87°. find the angle at which malcom way intersects park road. malcolm way intersects park road at an angle of °.

Explanation:

Step1: Recall angle - sum property

The sum of the angles around a point is 360°. Let the angle between Malcom Way and Park Road be $x$.

Step2: Set up the equation

$162^{\circ}+87^{\circ}+x = 360^{\circ}$

Step3: Solve for $x$

$x=360^{\circ}-(162^{\circ} + 87^{\circ})$
$x = 360^{\circ}-249^{\circ}$
$x = 111^{\circ}$

Answer:

$111$