Step-by-step explanation:
1) the rule: m∠1+m∠2+m∠3=180°;
2) according to the rule above: m∠P+m∠Q+m∠R=180°;
x+x+43+2x-15=180°; ⇔ 4x=152°; ⇒ <u>x=38°</u>;
3) the angles: P=2x-15=<u>61°;</u> Q=x+43=<u>81°</u>; R=x=<u>38°</u>.
Answer:
The sum of the page numbers on the facing pages of a book is 81 What are the page numbers
Step-by-step explanation:
The page numbers on facing pages of a book will always be consecutive. Therefore, let the left-hand page be denoted by x. Then the right-hand page would be x+1. x = 40.
Answer:
14
Step-by-step explanation:
When x = 3 and y = 1,
5x - y works out to 5(3) - 1 = 14
Answer:
E
Step-by-step explanation:
Answer:
30
Firstly, identify all the pairs of vertically opposite angles. Vertically opposite angles are equal.
In this case,
AOC & DOB are vertically opposite angles so both of them are 2x°
EOD & COF are vertically opposite angles so they are both 3x°.
FOB & EOA are vertically opposite angles so they are both x°.
Adding the values of all 6 angles, we get:
3x + 3x + 2x + 2x + x + x = 12x
We also know that
12x = 360°
x = 30°