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
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
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 '?'
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
Series pattern 4 x 0.5 = 2
2 x 1.5 = 3
Should come in place of 3.5
3 x 2.5 = 7.5
7.5 x 3.5 = 26.25
26.25 x 4.5 = 118.125
Clearly, 3.5 is wrong and is replaced by 3.
Series pattern
16 + 12 = 17
Should come in place of 19
17 + 22 = 21 ; 21+ 32 = 30;
30 + 42 = 46 ; 46 + 52 = 71
71 + 62 = 107
Clearly, 19 is wrong and will be replaced by 17.
complement of 30°20? = 90° ? ( 30°20? ) = 90° ? ( 30° + 20? )
= (89° ? 30°) + (1° ? 20?)
= 59° + 60? ? 20? [ ? 1° = 60°?]
= 59° + 40? = 59°40?.
Through 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°.
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°.
Comments
There are no comments.Copyright ©CuriousTab. All rights reserved.