Angle

Q.

What is the measure of each interior angle of an $18$sided polygon?

Q.

What is a $120$ sided shape called?

Q. The pie-chart shows the percentage of students taking up different specialisations in a management institute. The total number of students is 4500.

Ratio of men to women in each specialisation
$\begin{array}{ccc}\text{Specialisation}& \text{Men}& \text{Women}\\ \text{HR}& \text{2}& \text{3}\\ \text{Marketing}& \text{7}& \text{5}\\ \text{International Business}& \text{5}& \text{1}\\ \text{Banking}& \text{17}& \text{10}\\ \text{IT}& \text{1}& \text{2}\\ \text{Finance}& \text{5}& \text{4}\end{array}$

(A) Find the total number of men studying Banking and International Business.
(B) Find the percentage of women studying Finance with respect to the number of men studying the same.

Q.

Is it possible to have a polygon whose sum of interior angle is 7 right angles?

1. Yes

2. No

Q. In the given figure, the altitudes AD and BE of an acute angled ΔABC intersect at point O and its interior angle bisectors intersect at point I. If ΔBAC = 80° and $\angle ACB=\frac{1}{5}\angle BAC$, then match the columns.

दिये गये चित्र में, एक न्यूनकोण ΔABC के शीर्षलम्ब AD व BE है जो बिंदु O पर प्रतिच्छेद करते हैं तथा इसके अंतःकोण समद्विभाजक बिंदु I पर प्रतिच्छेद करते हैं। यदि ΔBAC = 80° तथा $\angle ACB=\frac{1}{5}\angle BAC$, तब कॉलम का मिलान कीजिए।

	Column (कॉलम) I		Column (कॉलम) II
(A)	∠OBI equals ∠OBI बराबर है	(P)	Complement of 82° 82° का पूरक
(B)	The value of (∠CBI – 10°) (∠CBI – 10°) का मान है	(Q)	132°
(C)	∠ACI equals ∠ACI बराबर है	(R)	32°
(D)	∠AIC equals ∠AIC बराबर है	(S)	Supplement of 148° 148° का सम्पूरक

1. A(S), B(P), C(Q), D(R)
2. A(R, S), B(R, S)
3. C(P), D(Q)
4. C(S), D(P)

Q. Draw rough diagrams of two angles such that they have

Q.

Each angle of a rectangle is ___________.

1. Obtuse Angle

2. Acute Angle

3. 90^o

4. 180⁰

Q. ΔABC is a right-angled isosceles triangle right angled at B such that AB = 4 cm. If D and E are points on BC and AB respectively such that BD = BE = 3 cm, then the value of (AD × CE + AC²) (in sq. cm) is

ΔABC एक समकोणीय समद्विबाहु त्रिभुज है जो B पर समकोण है जबकि AB = 4 cm है। यदि बिंदु D व E क्रमशः BC व AB पर इस प्रकार हैं कि BD = BE = 3 cm तब (AD × CE + AC²) का मान (वर्ग सेमी.में) है

1. 41
2. 21
3. 57
4. 37

Q. To open the treasure box, they have to rotate the needle of the compass in a particular direction. Solve the expression to set the needle in the correct direction to open the box.
$\frac{11.25\times {10}^6}{6.25\times {10}^4}$

1. $0^{\circ }$
2. ${90}^{\circ }$
3. ${180}^{\circ }$
4. ${270}^{\circ }$

Q. 53. Is gain percent determined on the SP or CP?

Q. If all the diagonal are drawn from a vertax of an n-gon, then how many triangles are formed

Q.

Find the number of sides of a polygon whose sum of interior angles is $900°$.

Q. A regular polygon with each exterior angle = ${40}^{\circ }$ is a

1. nonagon
2. decagon
3. octagon

Q. Identify the option for which a triangle can't be formed by combining all the sides or angles present in the option.

1. 45°, 65° and 70°
2. 3 units, 4 units and 5 units
3. 3 units, 4 units and 7 units
4. 45°, 45° and 90°

Q. In the given figure, $\angle ADC$ is?

1. ${60}^{\circ }$
2. ${30}^{\circ }$
3. ${70}^{\circ }$
4. ${80}^{\circ }$

Q. In a triangle ABC, right-angled at B, BD is drawn perpendicular to AC. hence, $\angle$ABD = $\angle$C

1. True
2. False

Q. The exterior angles, obtained on producing the base of a triangle(side $BC$) both ways, are ${102}^{\circ }$ and ${134}^{\circ }$. Find the $\angle A$(in degrees)

Q. find $\angle$ADC