Question

tive Assessment Worksheet - 1
Mathematics - VI
Marks: 5
Given that AB, CD EF are straight lines find the value of unknowns. ​

Answer 1

Step-by-step explanation:

3x+7x-21+4x-9=180

14x-30=180

14x=150

x=150/14

=10.

Answer 2

Answer:

Step-by-step explanation:

$\Large GIVEN:$

AB, CD EF are straight lines.

$\textbf TO FIND :$

Find the value of unknowns.

$SOLUTION :$

AS IT IS FORMING A LINEAR PAIR SO THE TOTAL ANGLE MEASURES 180°.

⇒3x° +[7x -21]° + [4x-9]° = 180°

⇒3x°+7x° - 21° + 4x° - 9°=180°

⇒ BRING THE VARIABLES TOGETHER AND NUMERALS TOGETHER

⇒ 3x°+7x°+4x° -21°-9°= 180°

⇒ 14x - 30°=180°

⇒14x= 180°+30°

⇒14x = 210°

⇒x = 210/14

⇒x = 15

∴ Value of x is 15°.

Now, we find the value of the angles.

$\hookrightarrow 1st angle: 3x = 3 X 15 = 45^{\circ}$

$\hookrightarrow 2nd angle: [7x - 21]^{\circ}= 7 X 15 - 21^{\circ} = 85^{\circ}$

$\hookrightarrow 3rd angle: [4x-9]^{\circ}=[60-9]^{\circ}=51^{\circ}$

$\boxed{\large\sf The angles are: 45^{\circ} , 85^{\circ} ,51^{\circ}} }}$

Hope it helps you!!