Answer:
As ΔABC is an <u>isosceles triangle</u>:
⇒ BA = BC
(the dashes on the line segments indicate they are of equal measure)
⇒ ∠BAC = ∠BCA = 55°
⇒ ∠BCA = ∠BAD = 55°
Angles on a <u>straight line</u> sum to 180°
⇒ ∠ADE + ∠EDC = 180°
⇒ 98° + ∠EDC = 180°
⇒ ∠EDC = 82°
As BE intersects AC, the <u>vertically opposite angles</u> are <em>equal</em>:
⇒ ∠BDC = ∠ADE = 98°
⇒ ∠ADB = ∠EDC = 82°
Interior angles in a triangle sum to 180°
⇒ ∠BAD + ∠ADB + ∠ABD = 180°
⇒ 55° + 82° + ∠ABD= 180°
⇒ ∠ABD = 180° - 55° - 82°
⇒ ∠ABD = 43°
9(2j+7+5j) Foil this out to get 18j+7+45j then 63j+7
Answer: 18j+7+45j , 63j+7 I think
Answer:
Step-by-step explanation:
This arc has the same measurement as the central angle. The central angle is LON where O is the center of the circle.
Point M forms an angle that is 1/2 the central angle when M is on the circumference and opposite the 150o angle. Therefore M is the vertex of a 75 degree angle.
76x - 1 = 75 Add 1 to both sides.
76x = 76 Divide by 76
x = 1
0.33 = 33/100.
It cannot be reduced after that.
