Answer:
x = 11°
Step-by-step explanation:
<u>Linear Pair</u>
Two angles adjacent to each other that form a straight line.
The sum of angles of a linear pair is always equal to 180°.
⇒ m∠C = 180° - 33° = 147°
<u>Alternate Interior Angle Theorem</u>
When two parallel lines are cut by a transversal, the alternate interior angles are congruent.
From inspection of the diagram, we can see that AB ║ DC.
Therefore, AE is the transversal.
So m∠A = 33°
<u>Sum of interior angles of a triangle is 180°</u>
Therefore, the top angle of the triangle = 180° - m∠A - 2x
= 180° - 33° - 2x
= 147° - 2x
<u>Angles around a point add up to 360°</u>
⇒ 33° + m∠C + 5x + (147° - 2x) = 360°
⇒ 33° + 147° + 5x + 147° - 2x = 360°
⇒ 327° + 3x = 360°
⇒ 3x = 33°
⇒ x = 11°
Answer:
x=70
Step-by-step explanation:
angles of a triangle are always 180
180-40=140
140=2x
divide both sides by 2
70=x
9514 1404 393
Answer:
3(n+4) = 12
Step-by-step explanation:
The sum of n and 4 is (n+4). Three times that sum is 3(n+4). When we say it "is 12", we mean it is equal to 12.
3(n +4) = 12
