MCQ
- A35º
- B45º
- C50º
- D60º
✓
Answer
- 60º
Solution:
In $\triangle\text{ABC},$
$\angle\text{BCA}+\angle\text{CAB}+\angle\text{ABC}=180^\circ$
$\Rightarrow3\text{y}^\circ+\text{x}^\circ+5\text{y}^\circ=180^\circ$
$\Rightarrow8\text{y}^\circ+\text{x}^\circ=180^\circ\dots(1)$
Also, $5\text{y}^\circ=180^\circ-7\text{y}^\circ$
$\Rightarrow12\text{y}^\circ=180^\circ$
$\Rightarrow\text{y}^\circ=15^\circ$
From (1), $\text{x}^\circ=180^\circ-8\text{y}^\circ$
$\Rightarrow\text{x}^\circ=180^\circ-8\times15^\circ$
$\Rightarrow\text{x}^\circ=60^\circ$
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
If the volumes of two cones be in the ratio $1: 4$ and the radii of their bases be in the ratio $4: 5$, then the ratio of their heights is
→The cost of constructing a wall 8m long, 4m high and 10cm thick at the rate of ₹ 25 per m3 is:
In $\triangle\text{ABC}$ and 6PQR, AB = PR and $\angle\text{A}=\angle\text{P}.$ Then, the two triangles will be congruent by SAS axiom if:
→ABCD is a parallelogram, M is the mid-point of BD and BM bisects $\angle\text{B}.$ Then, $\angle\text{AMB}=$
→- 45°
- 60°
- 90°
- 75°
The graph given below shows the frequency distribution of the age of 22 teachers in a school. The number of teachers whose age is less than 40 years is:
Short Answer Questions.
Can we form a quadrilateral whose angles are 70°, 115°, 60° and 120°? Give reasons for your answer.
Can we form a quadrilateral whose angles are 70°, 115°, 60° and 120°? Give reasons for your answer.
The mean of 100 items was found to be 64. Later on it was discovered that two items were misread as 26 and 9 instead of 36 and 90 respectively. The correct mean is:
- 64.86
- 65.31
- 64.91
- 64.61
It is known that if a + b = 4 then $\frac{1}{2}$(a + b) = 2. The Euclid’s axiom that illustrates this statement is:
→The quadrilateral formed by joining the mid-points of the pair of consecutive sides of a quadrilateral PQRS, taken in order, is a rectangle, if
The runs scored by 11 members of a cricket team are.
15, 34, 56, 27, 43, 29, 31, 13, 50, 20, 0.
The median score is:
15, 34, 56, 27, 43, 29, 31, 13, 50, 20, 0.
The median score is: