Üçbucağın bucaqlarının tapılması

MathematicsGeometryMedium

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10. Üçbucağın tənbölənləri onun bucaqlarını uyğun olaraq $22^\circ$, $27^\circ$ və $41^\circ$-li bucaqlara ayırır. Üçbucaqların bucaqlarını tapın. (8 bal) A) $52^\circ, 72^\circ, 72^\circ$ B) $42^\circ, 55^\circ, 83^\circ$ C) $45^\circ, 55^\circ, 83^\circ$ D) $44^\circ, 54^\circ, 82^\circ$

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Step by Step Written Solution

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Step 1

Hi Elnare, let's solve this geometry problem together.

Concept: Angle Bisectors

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Step 2

The problem states that the angle bisectors of a triangle divide its interior angles into specific values. Recall that an angle bisector splits an angle into two equal parts.

Understanding Bisectors

$$\text{Angle} = 2 \times \text{Half-angle}$$
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Step 3

This means each original angle of the triangle is simply double the values provided in the problem.

Calculating Triangle Angles

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Step 4

Let's calculate each angle. For the first angle, we multiply 22 degrees by 2 to get 44 degrees.

$$A_1 = 2 \times 22^\circ = 44^\circ$$

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About This Question

Subject
Mathematics
Topic
Geometry
Difficulty
Medium
Question Type
Multiple Choice

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