Question

What is the value of x

Answer 1

The sum of all the angles made at a point on a line where n lines meet, then the sum of (n+1) angles is 180°, as here, 2 lines meet at the center of the semicircle and so, 3 angles are here.So, by using this property we will be having the equation ;

${:\implies \quad \sf x^{\circ}+7x^{\circ}+x^{\circ}=180^{\circ}}$

${:\implies \quad \sf 9x^{\circ}=180^{\circ}}$

${:\implies \quad \sf x=\dfrac{180^{\circ}}{9}=\bf \boxed{20^{\circ}}}$

This is the required answer

Answer 2

Hey there!

Assuming #1 ….

x + 7x + x = 180°
REWORD

1x + 7x + 1x = 180°

COMBINE the LIKE TERMS

(1x + 7x + 1x) = 180°

8x + 1x = 180°

9x = 180°

DIVIDE 9 to BOTH SIDES

9x/9 = 180/9

CANCEL out: 9/9 because it equal 1

KEEP: 180/9 because it give you the x-value

NEW EQUATION: x = 180/9

SIMPLIFY IT!
x = 20
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Good luck on your assignment & enjoy your day!

~Amphitrite1040:)