Question

on your own
. (mp) reason a graphic designer wants to reproduce a logo of a mountain - climbing club for some club stationery. the logo is a triangle with the angles shown.
a. the designer wants the base to be 2 inches long. how should the triangle be drawn?
(there is a triangle image with the two base angles being 60° and 50° respectively)

Explanation:

Step1: Find the third angle

The sum of angles in a triangle is \(180^\circ\). Given two angles \(60^\circ\) and \(50^\circ\), the third angle \(x = 180^\circ-(60^\circ + 50^\circ)=70^\circ\).

Step2: Draw the base

Draw a line segment of length 2 inches (the base).

Step3: Draw the angles at the base endpoints

At one endpoint of the base, use a protractor to draw a \(60^\circ\) angle. At the other endpoint, draw a \(50^\circ\) angle. The two sides of these angles will meet at a point, forming the triangle with the third angle \(70^\circ\).

Answer:

First, calculate the third angle (\(70^\circ\)) using the triangle angle - sum property. Then, draw a 2 - inch base. At each end of the base, draw \(60^\circ\) and \(50^\circ\) angles respectively. The sides of these angles will intersect to form the required triangle.