Question
Find the value of the unknown $x$ in the diagram:
✓
Answer
From the given figure, we have
$1^{\text {st }}$ interior angle $=x, 2^{\text {nd }}$ interior angle $=90^{\circ}$ and $3^{\text {rd }}$ interior angle $=30^{\circ}$
Thus,
$x+90^{\circ}+30^{\circ}=180^{\circ} \text { (angle sum property of triangle) }$
$x+120^{\circ}=180^{\circ}$
$x=180^{\circ}-120^{\circ}$
$x=60^{\circ}$
Hence, the value of $x$ is $60^{\circ}$
$1^{\text {st }}$ interior angle $=x, 2^{\text {nd }}$ interior angle $=90^{\circ}$ and $3^{\text {rd }}$ interior angle $=30^{\circ}$
Thus,
$x+90^{\circ}+30^{\circ}=180^{\circ} \text { (angle sum property of triangle) }$
$x+120^{\circ}=180^{\circ}$
$x=180^{\circ}-120^{\circ}$
$x=60^{\circ}$
Hence, the value of $x$ is $60^{\circ}$
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
Identify the greater number, wherever possible, in each of the following?
$4^3$ or $3^4$
→$4^3$ or $3^4$
What should be subtracted from $\frac{-3}{4}$ to get $1?$
→$24$ litres of milk was distributed equally among all the students of a hostel. If each student got $\frac{2}{5}$ litre of milk, how many students are there in the hostel$?$
→Here is an incomplete net for making a cube. Complete it in atleast two different ways.
Find the value of the following:
$\left(\frac{-1}{2}\right)^2 \times 2^3 \times\left(\frac{3}{4}\right)^2$
→$\left(\frac{-1}{2}\right)^2 \times 2^3 \times\left(\frac{3}{4}\right)^2$
A number when divided by $6$ gives the quotient $6.$ What is the number$?$
→Evaluate product, reduce it to the lowest form, and convert it into a mixed fraction if possible. $5 \times \frac{3}{10}$
→Find the values of the unknowns $x$ and $y$ in the diagram :-
→Somplify: $-8\div\Big(\frac{-5}{16}\Big)$
→Solve the equation: $2q = 6$
→