Question

Find the m∠ARG in rhombus RAGL, given that m∠RAG = 58°.

Answer 1

Step-by-step explanation:

RAGL is a rhombus.

$\therefore RA = AG..

(sides\: of\: rhombus) \\

\therefore m\angle ARG = m\angle AGR... (1)$

(Angles opposite to equal sides are equal)

$In\:\triangle RAG, \\

m\angle ARG +\bold{ m\angle AGR} + {m\angle RAG} = 180°\\

m\angle ARG +\bold {m\angle ARG} + 58° = 180°\\

[From\:equation \: (1)]\\

2m\angle ARG = 180°-58° \\

2m\angle ARG = 122° \\

m\angle ARG =\frac{122°}{2} \\

\huge \red {\boxed {m\angle ARG = 61°}}$

Hence, option A is the correct answer.

Answer 2

The answer is 122 or 58