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3 years ago

Which of the following angles can be trisected using only a compass and straightedge?

Mathematics

2 answers:

velikii [3]3 years ago

7 0

Answer:

The correct option is (A) 90°

Step-by-step explanation:

The angles can be trisected which constructive angle θ, an angle of measure 3θ can be trivially trisected.

So, the angle in option (A) is written as 3θ.

3θ=3(30°)

but rest options can't write as 3θ.

Hence, the correct option is (A) 90°

Butoxors [25]3 years ago

6 0

I believe it's A......

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4 years ago

This is urgent!!!!!!!!!!!!!!!!!!!!

Debora [2.8K]

Answer:

i am not completely sure but i believe the second or third one is the options, sorry i wish i could help more

Step-by-step explanation:

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3 years ago

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Please help fast......

Tom [10]

$\begin{array}{c|c}\underline{Statement}&\underline{Reason}\\ 1.AY=BX&\text{1. Given}\\ 2.AB \cong AB&\text{2. Reflexive Property}\\ 3. AD || BC&\text{3. Property of a square}\\ 4. \angle ABE \cong \angle AXB&\text{4. Alternate Interior Angles}\\ 5. \angle BAY \cong \angle BYA&\text{5. Alternate Interior Angles}\\6. \triangle BAX \cong \triangle ABY&\text{6. Angle-Side-Angle Theorem}\\ 7. AX \cong BY&\text{7. CPCTC}\\\end{array}$

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$\begin{array}{c|c}\underline{Statement}&\underline{Reason}\\1. AB=CF&\text{1. Given}\\2.AB+BF=A'F&\text{2. Segment Addition Postulate}\\3.CF+BF=A'F&\text{3. Substitution Property}\\4.CF+BF+BC&\text{4. Segment Addition Postulate}\\5.A'F=BC&\text{5. Transitive Property}\\6. \angle AFE = \angle DBC&\text{6. Given}\\7. EF = BD&\text{7. Given}\\8. \triangle AFE \cong \triangle CBD&\text{8. Side-Angle-Side Theorem}\\\end{array}$

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$\begin{array}{c|c}\underline{Statement}&\underline{Reason}\\\text{1.AC bisects }\angle BAD&\text{1. Given}\\2. \angle BAC \cong \angle DAC&\text{2. Property of angle bisector}\\3.AC = AC&\text{3. Reflexive Property}&4. \angle ACB \cong \angle ACD&\text{4. Property of angle bisector}\\5. \triangle ABC \cong \triangle ADC&\text{5. Angle-Side-Angle Theorem}\\6.BC=CD&\text{6. CPCTC}\\\end{array}$

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4 years ago

Solve it <img src="https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%205%28x%20-%209%29%20%2B%203%28x%20%20%2B%204%29%20%3D%202%28x%2

JulsSmile [24]

Answer:

$5x - 45 + 3x + 12 = 2x - 12 \\ 8x - 33 = 2x - 12 \\ 6x = 21 \\ x = 3.5$

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3 years ago

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