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Andru [333]
2 years ago
9

Please help me

Mathematics
2 answers:
Sedbober [7]2 years ago
7 0

Answer:

<u>∠ABD = 43°</u>

Step-by-step explanation:

Let's solve !

⇒ ∠BAC = ∠BCA = 55° (Angles opposing equal sides)

⇒ ∠BDA = 180° - 98° (Linear pair)

⇒ ∠BDA = 82°

⇒ ∠BAC + ∠BDA + ∠ABD = 180° (Angle Sum Property)

⇒ ∠ABD + 82° + 55° = 180°

⇒ ∠ABD + 137° = 180°

⇒ <u>∠ABD = 43°</u>

BabaBlast [244]2 years ago
5 0

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°

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<h3>How to find the amount of pot holders Brent sold?</h3>

He sells 52 pot holders each week.

This means for every week, he sold 52 pot holders. Therefore, the amount of pot holders he sold for 58 weeks can be solved as follows:

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