Math  /  Geometry

QuestionFind the value of xx. 4545^\circ 8383^\circ xx^\circ

Studdy Solution

STEP 1

What is this asking? We need to find the value of an angle outside a triangle, given two angles inside the triangle. Watch out! Don't forget that the sum of the angles in a triangle is 180180^\circ.
Also, remember that a straight line forms a 180180^\circ angle.

STEP 2

1. Find the third angle inside the triangle.
2. Find the external angle.

STEP 3

We know that the sum of the angles in a triangle is 180180^\circ.
Let's call the unknown angle inside the triangle yy.
We are given two angles: 4545^\circ and 8383^\circ.
So, we can write the equation: 45+83+y=18045^\circ + 83^\circ + y = 180^\circ

STEP 4

Let's **add** the known angles: 128+y=180128^\circ + y = 180^\circ

STEP 5

Now, we want to **isolate** yy.
We can do this by adding 128-128^\circ to both sides of the equation: 128+y128=180128128^\circ + y - 128^\circ = 180^\circ - 128^\circ y=52y = 52^\circSo, the **third angle** inside the triangle is 5252^\circ.

STEP 6

We know that the angle xx and the third angle of the triangle (5252^\circ) form a **straight line**, which means they add up to 180180^\circ.
We can write this as: x+52=180x + 52^\circ = 180^\circ

STEP 7

To find xx, we can add 52-52^\circ to both sides of the equation: x+5252=18052x + 52^\circ - 52^\circ = 180^\circ - 52^\circ x=128x = 128^\circ

STEP 8

The value of xx is 128128^\circ.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord