turkey-yks 2025 Q31

turkey-yks · Other · yks-tyt Not Maths
Eight line segments, each with one endpoint at point O, form angles $a$, $b$, $c$, $d$, $e$, $f$, $g$, and $h$ between them. The measures of these angles are directly proportional to 8 consecutive integers arranged from smallest to largest.
Given that points K, O, and R are collinear, what is the measure of the angle $\widehat{\mathrm{MOR}}$ shown in purple in the figure?
A) 108 B) 114 C) 120 D) 126 E) 132
Eight line segments, each with one endpoint at point O, form angles $a$, $b$, $c$, $d$, $e$, $f$, $g$, and $h$ between them. The measures of these angles are directly proportional to 8 consecutive integers arranged from smallest to largest.

Given that points K, O, and R are collinear, what is the measure of the angle $\widehat{\mathrm{MOR}}$ shown in purple in the figure?

A) 108
B) 114
C) 120
D) 126
E) 132