Question

What is the measure of
∠1 if
∠1 is (8x)
∘ and
∠2 is (2x - 3)
∘?

Answer 1

<1=146.4

<2=34.6

Explanation:

<1+<2=180 degrees

So,

8x+(2x-3)=180

10x-3=180

10x=183

X=18.3

subsitute:

<1=8x

<1=8(18.3)

<1=146.4

<2=2x-3

<2=2(18.3)-3

<2=34.6

Answer 2

∠1 + ∠2 = 180

Substituting the given expressions for ∠1 and ∠2:

8x + (2x - 3) = 180

Simplifying and solving for x:

10x - 3 = 180

10x = 183

x = 18.3

Now we can substitute x back into the expression for ∠1 to find its measure:

∠1 = 8x = 8(18.3) = 146.4 degrees.

Therefore, if ∠1 and ∠2 add up to 180 degrees and ∠1 is given as 8x° and ∠2 is given as (2x - 3)°, then ∠1 measures 146.4 degrees