Question

Yooo smart score is 67 and I need at least 70 so can someone help me plz

Answer 1

R=50

x=65

x-15=50+2x=180

Answer 2

Answer: The answer is: " m∡R = 20° " .

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Explanation:

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Note that ∡R and ∡Q are "supplementary angles".

In these particular case:

" m∠R + m∠Q = 180 " ;

We are given (in the picture):

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" m∠R = (x - 15) " :

and " m∠Q = 2x " ;

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So we plug in these values:

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→ m∠R + m∠Q = 180 ;

→ (x - 15) + 2x = 180 ;

→ x - 15 + 2x = 180 ;

→ combine the "like terms" on the "left-hand side of the equation" :

x + 2x = 1x + 2x = 3x ;

Rewrite as: 3x - 15 = 180 ;

Now add "15" to each side of the equation:

3x - 15 + 15 = 180 + 15 ;

to get:

3x = 195 ;

Now, divide each side of the equation by "3" ; to isolate "x" on the left-hand side of the equation; and to solve for " x" ;

3x / 3 = 195/3 ;

to get: x = 65 ;

Now, we are to solve for: m∡R ; which is: " (x - 15) " ;

So we substitute "65" ; for "x" ;

→ m∡R = x - 15 = 65 - 15 = 50 ;

The answer is: " m∡R = 50.°

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Note: Alternate method:

Above; when we have:

"3x - 15 = 180 " ;

we can divide each side of the equation by "3";

to get:

1x - 5 = 60 ;

→ x - 5 = 60 ;

Add "5" to each side of the equation:

x - 5 + 5 = 60 ;

→ x = 60 ;

and then continue acordingly.

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Best wishes!