Question

three equal angles of a quadrilateral are (x+4)degree and the fourth angle was 72 degree. Find the other three angle ​

Answer 1

Answer:

96°

Step-by-step explanation:

x+4+x+4+x+4+72=360( angle sum property)

3x+84=360

3x= 276

x= 276/3=92

three angles of quadrilateral= x+4=92+4=96°

I hope my answer helps you ☺☺

Answer 2

${\large{\underbrace{\underline{\bf{Required\:Solution:-}}}}}$

$\green{✿}$ Consider a quadrilateral ABCD, in which,

• $\sf\angle A=\angle B = \angle C$ &
• $\sf\angle D = 72\degree$

Refer to the attachment for the figure.

$\green{✿}$ Let $\angle\sf A = x\degree$ so,

• $\sf \angle B = (x+4)\degree$ and
• $\sf\angle C = (x+4)\degree$

We know that,

$\sf \odot \: Sum \: of \: all \: internal \: angles \: in \: a \: quadrilateral = 360 \degree$

So,

$\colon \rightarrow \sf \: \angle \: A+ \angle \: B + \angle \: C + \angle \: D = 360 \degree \\ \\ \colon \rightarrow \sf \: x+4 + x+4 + x +4 + 72 \degree = 360 \degree \\ \\ \colon \rightarrow \sf \: 3x =360 \degree - 84 \degree \\ \\ \colon\rightarrow \sf \: \cancel3x = \cancel{276 \degree} \\ \\ \colon \rightarrow \underline{ \boxed{ \bf{ \pink{ x = 92 \degree}}}}$

So, the other three angles measure :

• $\bf\angle\:A = (92+4)\degree=96\degree$
• $\bf\angle\:B=(92+4)\degree=96\degree$
• $\bf\angle\:C=(92+4)\degree=96\degree$

____________________________

${\underline{\underline{\frak{\green\dag\;Know\:More:-}}}}$

• A quadrilateral is a four sided figure.

• It has four vertices and angles.

• It's perimeter is the sum of all four sides.

• It's area can be found by multiplying ½ to one of it's side and it's altitude.

• Some types of quadrilaterals are :

• Rectangle
• Square
• Trapezium
• Kite
• Rhombus
• Parallelogram.

_____________________________