Question
In the adjoining figure, ABCD is a rhombus whose diagonals intersect at O .
If $\angle OAB : \angle OBA =2: 3$, find the angles of $\triangle OAB$.
If $\angle OAB : \angle OBA =2: 3$, find the angles of $\triangle OAB$.
✓
Answer
$\angle AOB =90, \angle OAB =36, \angle OBA =54$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
If $(a+b)=2$ and $(a-b)=10$, find the values of : $\left(a^2+b^2\right)$
→Rationalise the denominator of the following:
$\frac{3-2 \sqrt{2}}{3+2 \sqrt{2}}$
→$\frac{3-2 \sqrt{2}}{3+2 \sqrt{2}}$
Find the volume of a cube whose diagonals is $\sqrt{48} \ cm$.
→In each of the following figures, find the value of $x$ :
→The circumference of a circle is numerically equal to its area. Find the area and circumference of the circle.
In $\triangle ABC, AB = 12 \ cm$ and $AC = 9 \ cm.$ If $M$ is the mid$-$point of $AB$ and a straight line through $M$ parallel to $AC$ cuts $BC$ in $N,$ what is the length of $MN$?
→Construct a rhombus $\text{ABCD},$ when:Diagonal $AC = 6.3 \ cm$ and diagonal $BD = 5.8 \ cm.$
→The radii of two circles are $25 \ cm$ and $18 \ cm$. Find the radius of the circle which has a circumference equal to the sum of circumferences of these two circles.
→Calculate the $\text{C.I.}$ on $Rs. 3,500$ at $6\%$ per annum for $3$ years, the interest being compounded half$-$yearly.
Do not use mathematical tables. Use the necessary information from the following:
$(1.06)^3=1.191016; (1.03)^3= 1.092727$
$(1.06)^6=1.418519; (1.03)^6= 1.194052$
→Do not use mathematical tables. Use the necessary information from the following:
$(1.06)^3=1.191016; (1.03)^3= 1.092727$
$(1.06)^6=1.418519; (1.03)^6= 1.194052$
Construct an isosceles triangle in which$:$ Base $QR = 5.2 \ cm$ and the altitude $PM = 4.8 \ cm$
→