Mathematics

Measure (in degree) of two supplementary angles are consecutive odd integers. Find the angles.

SOLUTION
Let one angle be $2y+1$ and other angle be $2y+3$
As we know sum of supplementary angle is $180$ degrees.
$ACQ,$
$\Rightarrow 2y+1+2y+3=180^o$
$\Rightarrow 4y+4=180^o$
$\Rightarrow 4y=180^o - 4^o$
$\Rightarrow y=\dfrac{176^o}{4}$
$\Rightarrow y=4^o$
$\therefore 2 \times y+1=3 \times 44^o+1=89^o$
$\Rightarrow$ and $2y+3=2 times 44^o +3=91^o$
Therefore, one angle is $89$ degrees and other is $91$ degrees.

You're just one step away

Subjective Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

Realted Questions

Q1 Single Correct Medium
In the given figure AB || CD || EF. the values of $(y+x): (y-x)$ is
• A. $23:7$
• B. $6: 7$
• C. None of these
• D. $21: 5$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 TRUE/FALSE Medium
State the following statement is True or False
If two parallel lines are cut by transversal, then the pair of alternate interior angles are not equal
• A. True
• B. False

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Single Correct Medium
In the figure given $L_1$ and $L_2$ are parallel. The sum of the angles $\alpha, \beta, \gamma$ marked in the diagram is:
• A. $180^0$
• B. $270^0$
• C. $\le270^0$
• D. $360^0$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Single Correct Medium
An angle which measures more than $90^o$ but less than $180^o$ is called ___________.
• A. Acute
• B. Obtuse
• C. Right
• D. None of these

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Subjective Medium
List three other situations where reflex angles may be seen.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020