Question

The angle measure of x in the given figure is
I don't know the angle sum measure of x can someone help me ASAP?

Answer 1

HAVE A NICE DAY!!!

HOPE IT HELPS YOU!!!

Answer 2

$\huge\tt{\bold{\purple{\underbrace{\green{\mathfrak{Answer♡}}}}}}$

$\huge\color{Red}\boxed{\colorbox{black}{Given♡}}$

$\angle A = x \\ \\ \angle B = {70}^{ \circ} \\ \\ \angle C = {60}^{ \circ} \\ \\ \angle1 = {90}^{ \circ}$

$\huge\color{Red}\boxed{\colorbox{black}{To find♡}}$

$The\: measure\: of\: x$

$\huge\color{Red}\boxed{\colorbox{black}{Answer♡}}$

$\angle1 + \angle2 = {180}^{ \circ} \\ \\ \pink{\because \angle1 \: and \: \angle2 \: form \: a \: linear \: pair }\\ \\ \implies {90}^{ \circ} + \angle2 = {180}^{ \circ} \\ \\ \implies \angle2 = {180}^{ \circ} - {90}^{ \circ} \\ \\ \implies \angle2 = {90}^{ \circ} \\ \\ \\ \\ \\ Now,\: \angle A + \angle B + \angle C + \angle2 = {360}^{\circ} \\ \\ \pink{ \because sum \: of \: all \: angles \: of \: a \: quadrilateral \: is \: = \: {360}^{ \circ} } \\ \\ \implies x + {70}^{ \circ} + {50}^{ \circ} + {90}^{ \circ} = {360}^{ \circ} \\ \\ \implies x + {210}^{ \circ} = {360}^{ \circ} \\ \\ \implies x = {360}^{ \circ} - {210}^{ \circ} \\ \\ \implies x = {150}^{ \circ}$