Question

2. Construct the following angles using ruler and compass and verify by measuring them by aprotractor.(a) 30° (b) 22°(C) 15°(d) 750 (e) 1050f) 135°3. Construct an equilateral triangle, given its side of length of 4.5 cm and justify the construction​

Answer 1

Answer:

In △ABC AB=AC

⇒∠B=∠C (Angles opposite to equal sides are equal)

Now using angle sum property

∠A+∠B+∠C=180

∘

⇒80

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+∠C+∠C=180

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⇒2∠C=180

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−80

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⇒∠C=

2

100

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=50

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now ∠C+∠x=180

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(Angles made on straight line (AC) are supplementary)

⇒50

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+∠x=180

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⇒∠x=180

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−50

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=130

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