Track / Stage 2 / 95 of 320 #415 of 2604

Problem 415

Geometry Difficulty 2.1 Multiple choice CEMC Pascal · Canada · 2014

In the diagram, what is the value of $x$ ?

IMG0

Figure for this problem

Pick one

Official solution

Since the sum of the angles in a triangle is $180^\circ$ , then $50^\circ + x^\circ + 45^\circ = 180^\circ$ or $x+95 = 180$ . Therefore, $x = 85$ .

Figure for this problem

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.