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°
Answer:
E. FD<DE<EF
Step-by-step explanation:
First I needed to find the other angle which I found by adding the two angles that were given.
103 +14 =117
180 - 117= 63
then to find which sides were the longest I looked and the angles and found their corresponding sides.
<D went with side FE
<F went with side DE
<E went with side FD
The smallest angle was <E therefore the smallest side was FD
The middle angle was <F therefore the medium side was DE
The largest angle was <D therefore the smallest side was FE
I hope this helps!!
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Answer:
the inequality would be, b/3<=16
Step-by-step explanation:
The answer is 76 because Mai’s younger brother has been saving up for that long it just makes since
-14+3/2b-(1+2/8b), then take out the blanket become -14+3/2b-1-2/8b , get 5/4b-15=0 so 5/4b=15 ,get b=15×4÷5. b=12