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Maths-

General

Easy

Question

If $m straight angle B equals left parenthesis 5 x plus 7 right parenthesis to the power of 0$ and $m straight angle C equals left parenthesis 2 x plus 34 right parenthesis to the power of ring operator$ , find the value of x and $m straight angle A text . end text$

hint Hint:

the base angle theorem states that if the sides of a triangle are congruent then the angles opposite these sides are congruent.

The correct answer is: straight angle A equals 76 to the power of ring operator

We have been given in the question that if 𝑚∠𝐵 = (5𝑥 + 7) ° and 𝑚∠𝐶 = (2𝑥 + 34) °

We have to find the value of x and 𝑚∠A

Step 1 of 1:
In the given figure,

$straight angle B equals straight angle C$
So,
$5 x plus 7 equals 2 x plus 34$
$3 x equals 27$
x = 9
So,
$straight angle B equals 5 x plus 7$
= 5(9) + 7
= 52⁰
And,
$straight angle C equals 2 x plus 34$
= 2(9) + 34
= 52⁰
Now we know that the sum of angle of triangle is 180⁰.
So,
$straight angle A plus straight angle B plus straight angle C equals 180 to the power of ring operator$
$straight angle A plus 52 to the power of 0 plus 52 to the power of 0 equals 180 to the power of ring operator$
$straight angle A plus 104 to the power of 0 equals 180 to the power of ring operator$
$straight angle A equals 76 to the power of ring operator$

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