Discussion
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- Question
- In the given, AB || CD. Then X is equal to:
Options- A. 93°
- B. 103°
- C. 83°
- D. 97°
- Correct Answer
- 97°
ExplanationThrough O, draw a line l parallel to both AB and CD. Then
?1 = 45° (alt. ?S)
and ?2 = 30° (alt. ?S)
? ?BOC = ?1 + ?2 = 45° + 30° = 75°
So, X = 360° ? ?BOC = 360° ? 75° = 285°
Hence X = 285°. - 1. The complement of 30°20? is:
Options- A. 69°40?
- B. 59°40?
- C. 35°80?
- D. 159°40? Discuss
- 2. Two angles are supplementary and the ratio of the angels is 1:4. what is the value of smaller angle?
Options- A. 36 degree
- B. 45 degree
- C. 35 degree
- D. 72 degree Discuss
- 3. 13, 35, 57, 79, 911,?
Options- A. 1113
- B. 1123
- C. 1114
- D. 1124 Discuss
- 4. 62, 87, 187, 412, 812,?
Options- A. 1012
- B. 1437
- C. 1337
- D. 1457 Discuss
- 5. 20, 21, 25, 34, 50,?, 111
Options- A. 70
- B. 65
- C. 60
- D. 75 Discuss
- 6. An angle is equal to one-third of its supplement. Its measure is equal to :
Options- A. 40°
- B. 50°
- C. 45°
- D. 55° Discuss
- 7. In the adjoining figure, AB || CD, t is the traversal, EG and FG are the bisectors of ?BEE and ?DFE respectively, then ?EGF is equal to :
Options- A. 90°
- B. 75°
- C. 80°
- D. 110° Discuss
- 8. Find the measure of an angle, if six times its complement is 12° less than twice its supplement :
Options- A. 48°
- B. 96°
- C. 24°
- D. 58° Discuss
- 9. In fig., AB || CD, ?a is equal to:
Options- A. 93°
- B. 103°
- C. 83°
- D. 97° Discuss
- 10. In the following figure, ?B : ?C = 2 : 3, find ?B + ?C.
Options- A. 120°
- B. 52°
- C. 78°
- D. 130° Discuss
Plane Geometry problems
Search Results
Correct Answer: 59°40?
Explanation:
complement of 30°20? = 90° ? ( 30°20? ) = 90° ? ( 30° + 20? )
= (89° ? 30°) + (1° ? 20?)
= 59° + 60? ? 20? [ ? 1° = 60°?]
= 59° + 40? = 59°40?.
Correct Answer: 36 degree
Explanation:
As we know that the angles are supplementary so sum of angles will be 180 degree.
Let us assume that the ratio factor is r.
According to question,
Angles are supplementary and have a ratio of 1:4.
r + 4r = 180
? 5r = 180
? r = 180/5
? r = 36
Correct Answer: 1113
Explanation:
Series pattern
The elements of the given series are the numbers formed by joining together consecutive add numbers in order
i.e, 1 and 3, 3 and 5, 5 and 7, 7 and 9, 9 and 11,...
? Missing tern = Number formed by joining 11 and 13 = 1113
Correct Answer: 1437
Explanation:
Series pattern
62 + 52 = 62 + 25 = 87
87 + 102 = 87 + 100 = 187
187 + 152 = 187 + 225 = 412
412 + 202 = 412 + 400 = 812
812 + 252 = 812 + 625 = 1437
Should come in place of '?'
Correct Answer: 75
Explanation:
Series pattern
20 + 12 = 21,
21 + 22 = 25,
25 + 32 = 34,
34 + 42 = 50,
50 + 52 = 75 Should come in place of ' ? '
75 + 62 = 111
Correct Answer: 45°
Explanation:
Correct Answer: 90°
Explanation:
Correct Answer: 48°
Explanation:
Let, the measure of the required angled be A°.
Then, measure of its complement = ( 90 ? A )° measure of its supplement = (180 ? A)°
According to question,
6(90° ? A) = 2(180° ? A) ?12°
? 540° ? 6A = 360° ? 2A ? 12°
? 4A = 192°
? A = 48°.
Correct Answer: 93°
Explanation:
CD || AB (Given)
Produce RQ to meet AB in S
?CRS = ?PSR (at. int. ?s)
But ?CRS = 55°
? ?PSR = 55°
Now in QSP
?QSP + ?QPS + ?PQS = 180°
55° + 38° + ?SQP = 180°
? ?SQP = 180° ? 93° = 87°
But angle a and ?PQS are linear
?a = 180° ? 87°
?a = 93°
Correct Answer: 78°
Explanation:
?DAC = ?B + ?C
(Exterior angle prop. of a ? ABC)
According to question,
130° = 2A + 3A
5A = 130°
A = 26°
? ?B = 52°; ?C = 78°
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