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What is the value for x?
Angle A=73°
Angle B=(6x + 4)º
Angle C=(8y-7)° Enter your answer in the box.
X=

What Is The Value For X Angle A73 Angle B6x 4º Angle C8y7 Enter Your Answer In The Box X class=

Sagot :

abidemiokin

The value of x is 5 from the diagram.

The sum of angles in a triangle.

The sum of interior angle of a triangle is 180 degrees. Hence:

  • m<A + m<B + m<C = 180

From the information given,;

73 = 8y - 7 (base angles are equal)

8y = 80

y = 10

Take the sum of the angles:

73  + 6x + 4 + 73 = 180

6x + 150 = 180

6x = 30

x= 5

Hence the value of x is 5 from the diagram.

Learn more on triangles here: https://brainly.com/question/2938476

oladayoademosu

The value of x is 5.

Since triangle ABC is an isoceles triangle, angle A = Angle C(base angles of an isoceles triangle are equal)

Since angle A = 73° and angle C = (8y - 7)°

angle A = angle C

⇒ 73 = 8y - 7

Adding 7 to both sides, we have

73 + 7 = 8y - 7 + 7

80 = 8y

Dividing both sides by 8, we have

y = 80/8

y = 10

Also, angle A + angle B + angle C = 180° (sum of angles in a triangle)

73 + 6x + 4 + 8y - 7 = 180

Collecting like terms, we have

73 + 4 - 7 + 6x + 8y = 180

6x + 8y + 70 = 180

Subtracting 70 from both sides, we have

6x + 8y + 70 - 70 = 180 - 70

6x + 8y = 110

Making x subject of the formula, we have

6x = 110 - 8y

x = (110 - 8y)/6

Substituting the value of y into the equation, we have

x = (110 - 8y)/6

x = (110 - 8 × 10)/6

x = (110 - 80)/6

x = 30/6

x = 5

So, the value of x is 5.

Learn more about angles in a triangles here:

https://brainly.com/question/7888180

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