Mathematics

# In Fig., ACB is a line such that $\angle DCA = 5x$ and $\angle DCB = 4x.$ Find the values of $\angle DCA$ and $\angle DCB.$

$\angle DCA = 100^{\circ};\angle DCB = 80^{\circ}$

##### SOLUTION
Here, $ACB$ is a line.
$\Rightarrow$  $\angle DCA+\angle DCB=180^o$               [ Linear pair ]
$\Rightarrow$  $5x+4x=180^o$
$\Rightarrow$  $9x=180^o$
$\Rightarrow$  $x=\dfrac{180^o}{9}$
$\Rightarrow$  $x=20^o$
$\Rightarrow$  $\angle DCA=5x=5\times 20^o=100^o$
$\Rightarrow$  $\angle DCB=4x=4\times 20^o=80^o$

You're just one step away

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

#### Realted Questions

Q1 Subjective Medium
In the figure,$\Delta PQR$ is a right angled at Q, $\overline {ML} ||\overline {RQ}$ and $\angle LMR = {130^ \circ }$. Find $\angle LPM$ and $\angle PML$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Single Correct Medium

Two supplementary angles are in the ratio $3:2$. The smaller angle measures?
• A. $108^o$
• B. $81^o$
• C. $68^o$
• D. $72^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 TRUE/FALSE Medium
State the following statement is True or False
The corresponding angle converse theorem states that :
If two parallel lines are cut by Transversal then the pair of corresponding angles are congruent
• A. True
• B. False

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Subjective Medium
In the above figure, a pair of parallel lines are cut by a transversal. Find the size of each lettered angle.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q5 Single Correct Medium
Find the measure of the supplementary angle of $132^o$
• A. $32^o$
• B. $42^o$
• C. $38^o$
• D. $48^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020