Question

angle x and angle y form a linear pair. If angle x = angle y + 60°, then find the measure of angle x​

Answer 1

Step-by-step explanation:

X=180-60=120. So your answer X=120.

Answer 2

Given,

Angle x and angle y are in linear pair.

$\[\angle x = \angle y + 60^\circ \]$

Solution,

Know that,

$\[\angle x + \angle y = 180^\circ \]$

Put the value of angle y from the given condition.

$\[\begin{array}{l}\angle x + \left( {\angle x - 60^\circ } \right) = 180^\circ \\ \Rightarrow 2\angle x - 60^\circ = 180^\circ \\ \Rightarrow 2\angle x = 240^\circ \\ \Rightarrow \angle x = 120^\circ \end{array}\]$

Hence the value of angle x is $\[120^\circ \]$