Question

Q5 A and B Unsure of how to go about this. Thanks :)

Answer 1

Answer:

Step-by-step explanation:

the given angle measurments are x, (x + 18), and 2(x - 5)

knowing that the angles add up to 180, you can write the equation:

x + (x + 18) + 2(x - 5) = 180

Then you solve the equation

so our equation is:

x + x + 18 + 2(x - 5) = 180

*combine like terms

2x + 18 + 2(x - 5)

*distribute the 2

2x + 18 + 2x - 10

* combine like terms

4x + 8 = 180

* subtract 8 from both sides

4x = 172

* divide both sides by 4

x = 43

so knowing that x is 43, we can plug that in to the original given angle measurements:

the top angle which was x + 18 becomes 43 + 18, or 61

the bottom right angle was 2(x - 5), now it's 2(43 - 5) or 2(38) which is 76

and the other one was x so it's 43 degrees

We can check our work by adding them together.

61 + 76 + 43 = 180

they equal 180 as the angles of a triangle should.

Note: most of these numbers should have degree symbols, but I don't know how to type that.