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Aliun [14]
3 years ago
10

What’s the value of x A- 86.5 B- 43.25 C- 133.25 D- 46.75

Mathematics
2 answers:
DiKsa [7]3 years ago
5 0
133.25 is the awnser for this question
oksano4ka [1.4K]3 years ago
5 0

Answer : The correct option is, (B) 43.25

Step-by-step explanation :

As we know that the sum of interior angles of a triangle is equal to 180^o.

\angle D+\angle F+\angle E=180^o

The given triangle is an isosceles triangle in which the angles opposite to equal sides are always equal.

Side DF = Side EF

So, \angle D=\angle E=x^o

Given : \angle F=93.5^o

x^o+93.5^o+x^o=180^o

2x^o+93.5^o=180^o

2x^o=180^o-93.5^o

2x^o=86.5^o

x^o=\frac{86.5^o}{2}

x=43.25^o

Thus, the value of 'x' is, 43.25^o

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8 0
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swat32
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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define scalene triangle

A Scalene Triangle is any triangle with unequal sides. This means that, in a scalene triangle, all of the three sides and angles are different lengths, just like in the illustration below. This also means that each angle has to be different.

STEP 2: Get the greatest sum possible of the two smallest angles

Since the measures of the angles of the triangle are different whole numbers , for the sum of the two angles to be the least possible, one of the angles must be smallest whole number i.e 1°

Now, the next smallest angle will be the next angle of a whole number that is not 1 degree, i.e, 2 degrees.

Thus, the greatest possible sum of the measures of two smallest angles will be:

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