The diagram shows a right-angled triangle.
1 answer:
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Answer:
- 71° and 71°.
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Step-by-step explanation:
The triangle having two sides equal along with one different side is called an isosceles triangle.
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- So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.
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We know that,
- The sum of all angles of a triangle is 180°
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So, According to the question :
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Therefore,
- The measure of the two other angles of the isosceles triangle are 71° and 71°.
You need this key result: in any polygon, the sum of the interior angles is
where is the number of sides of the polygon.
Your polygon has seven sides, and the measures of all angles are given. So, we can write
Again, we've simply written that the sum of all interior angles is the number of sides, minus two, times 180.
We can simplify both sides: we sum like terms on the left hand side, and we easily compute the right hand side:
and we can solve this equation for by dividing both sides by 30:
Finally, the required angles is