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

$A$ circular ground whose diameter is $35 \ m$ has a $1.4 \ m$ broad garden around it. What is the area of the garden in square metres?

Height of an equilateral triangle is $9 \ cm$. Find its area?

If the perimeter of a right-angled isosceles triangle is $4 \sqrt{2}+4 \,m ,$ then the hypotenuse is.........$m$

If a wire is bent into the shape of a square,then the area of the square is $81 \, cm^2$. When the wire is bent into a semi-circular shape,the area of the semi-circle will be (in $cm^2$):

How many tiles,each $4 \, dm$ square,will be required to cover the floor of a room $8 \, m$ long and $6 \, m$ broad?

Vedclass Test Series

Exam Paper Generator

Online Exam Module