Question
In the figure, given below, find: ∠ ABC Show steps of your working.
✓
Answer
∠ADC +∠ABC = 180°
(Sum of opposite angles of a cyclic quadrilateral is 180°)
⇒∠ABC = 180° - 75° = 105°
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
Complete the following figure, about the given lines of symmetry which are shown by dotted lines and name the figure thus obtained:
Prove.
$\operatorname{cosec} A (1+\cos A )(\operatorname{cosec} A-\cot A ) =1$
→$\operatorname{cosec} A (1+\cos A )(\operatorname{cosec} A-\cot A ) =1$
Given $A=\left[\begin{array}{ll}1 & 4 \\ 2 & 3\end{array}\right]$ and $B=\left|\begin{array}{l}-4-1 \\ -3-2\end{array}\right|$ Find the matrix $2A + B$
→Prove. $\frac{1}{\sin A+\cos A}+\frac{1}{\sin A-\cos A}=\frac{2 \sin A}{1-2 \cos ^2 A}$
→Without using the trigonometric table, prove that
cos 1°cos 2°cos 3° ....cos 180° = 0.
cos 1°cos 2°cos 3° ....cos 180° = 0.
Prove that $\frac{\cos \theta}{\sin \left(90^{\circ}-\theta\right)}+\frac{\sin \theta}{\cos \left(90^{\circ}-\theta\right)}=2$
→A bag contains 16 colored balls. Six are green, 7 are red and 3 are white. A ball is chosen, without looking into the bag. Find the probability that the ball chosen is : not white
Solve the following inequalities and represent the solution on a number line:
3(x - 2) > 1
3(x - 2) > 1
In each of the following determine the; value of k for which the given value is a solution of the equation:
$x^2 + 2ax - k = 0; x = - a.$
→$x^2 + 2ax - k = 0; x = - a.$
A manufacturer sells a washing machine to a wholesaler for ₹ 15000. The wholesaler sells it to a trader at a profit of ₹ 1200 and the trader sells it to a consumer at a profit of ₹ 1800. If the rate of VAT is 8%, find :
(i) The amount of VAT received by the State Government on the sale of this machine from the manufacturer and the wholesaler.
(ii) The amount that the consumer pays for the machine.
(i) The amount of VAT received by the State Government on the sale of this machine from the manufacturer and the wholesaler.
(ii) The amount that the consumer pays for the machine.