Mathematics

Lines $m$ and $n$ are cut by a transversal so that $\angle 1$ and $\angle 5$ are corresponding angles. If $\angle 1=26x-{7}^{o}$ and $\angle 5=20x+{17}^{o}$. What value of $x$ makes the lines $m$ and $n$ parallel?

$4$

SOLUTION
For the lines $m$ and $n$ to be parallel corresponding angles should be equal, i.e,
$\angle 1=\angle 5$
$\Rightarrow$ $26x-{7}^{o}=20x+{17}^{o}$
$\Rightarrow$ $6x={24}^{o}$ $\Rightarrow$ $x={4}^{o}$

You're just one step away

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

Realted Questions

Q1 Single Correct Medium
An angle which measures more than $\displaystyle 0^{\circ}$ and less than $\displaystyle 90^{\circ}$ is called
• A. obtuse
• B. acute
• C. right
• D. none of these

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Subjective Medium
Two complementary angles are in the ratio $4 : 5$. Find the angles.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 One Word Medium
In the figure $\angle BAC = 75^{\circ}$, $\angle ABC =35^{\circ}$. Find the measures of $\angle BAZ$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Subjective Medium
The measures of two complimentary angles are $x$ and $4x$. Find the measure of each of these angles.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q5 Single Correct Medium
In the figure $PQ \mid \mid ST$, then $\angle QRS$ is equal to:
• A. $60^{\circ}$
• B. $40^{\circ}$
• C. $70^{\circ}$
• D. $30^{\circ}$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020