zoestersoliel zoestersoliel
  • 14-01-2019
  • Mathematics
contestada

What is the value of y?

A=34degrees
B=(x-5)degrees
C=4y degrees
Enter your answer in the box.

What is the value of y A34degrees Bx5degrees C4y degrees Enter your answer in the box class=

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virtuematane virtuematane
  • 23-01-2019

Answer:

The value of y is 28.

Step-by-step explanation:

The angles opposite to equal sides of a triangle are equal.

As we are given AC=BC.

Hence, ∠A=∠B.

i.e. 34=x-5

x=34+5=39°.

Hence, ∠A=34° and ∠B=34°.

Also the sum of all the angles of a triangle =180°.

hence ∠A+∠B+∠C=180°

34+34+4y=180°

4y=112 ( As 34+34=68 and then we subtract from 180° since on taking it to the right hand side).

y=28 (Divide both side by 4).

Hence, ∠A=34°

∠B=34°

∠C=112°

Hence, the value of y is 28.


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