The angles of a quadrilateral are in the rati | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The sum of the angles of a quadrilateral is $360^{\circ}$.Let the angles be $2x, 4x, 7x,$ and $5x$.$2x + 4x + 7x + 5x = 18x = 360^{\circ}$.$x = 36

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(B) The sum of the angles of a quadrilateral is $360^{\circ}$.Let the angles be $2x, 4x, 7x,$ and $5x$.$2x + 4x + 7x + 5x = 18x = 360^{\circ}$.$x = 360^{\circ} / 18 = 20^{\circ}$.The smallest angle of the quadrilateral is $2x = 2 	imes 20^{\circ} = 40^{\circ}$.Since the smallest angle of the triangle is equal to the smallest angle of the quadrilateral,the smallest angle of the triangle is $40^{\circ}$.Another angle of the triangle is twice the smallest angle,which is $2 	imes 40^{\circ} = 80^{\circ}$.The sum of the angles of a triangle is $180^{\circ}$.The third angle is $180^{\circ} - (40^{\circ} + 80^{\circ}) = 180^{\circ} - 120^{\circ} = 60^{\circ}$.The angles of the triangle are $40^{\circ}, 60^{\circ},$ and $80^{\circ}$.The second largest angle of the triangle is $60^{\circ}$.

The angles of a quadrilateral are in the ratio of $2: 4: 7: 5$. The smallest angle of the quadrilateral is equal to the smallest angle of a triangle. One of the angles of the triangle is twice the smallest angle of the triangle. What is the second largest angle of the triangle? (in $^o$)

Similar Questions

The total surface area of a rectangular block is $8788 \text{ cm}^2$. If the length,breadth,and height are in the ratio $4:3:2$,find the length (in $\text{cm}$).

How many times will a wheel of diameter $105\, cm$ rotate in covering a distance of $330\, m$? (in $revolutions$)

One side of a parallelogram is $10\, m$ and the corresponding altitude is $7\, m$. The area of the parallelogram is......$m^2$

The circumference of $2$ circles is $88 \, m$ and $220 \, m$ respectively. What is the difference between the area of the larger circle and the smaller circle? (in $m^2$)

If a square is inscribed in a circle,the ratio of the area of the circle and the square is

Vedclass Test Series

Exam Paper Generator

Online Exam Module