Question

50
which equation can be used to find the missing angle?
a) $46 + 32 = x$
b) $x + 46 = 180$
c) $x + 78 = 180$
d) $x + 32 = 180$

Explanation:

Step1: Recall Triangle Angle Sum

The sum of angles in a triangle is \(180^\circ\). So, \(46^\circ + 32^\circ + x = 180^\circ\).

Step2: Simplify Known Angles

Calculate \(46 + 32 = 78\). So the equation becomes \(x + 78 = 180\).

Step3: Match with Options

Option c is \(x + 78 = 180\), which matches our derived equation.

Answer:

c) \(x + 78 = 180\)