Answer:
Step-by-step explanation:
Note that ∠TSU and ∠PSR are vertical angles. Hence:
∠PSR is the sum of ∠PSQ and ∠QSR. Hence:
We know that ∠TSU measures 4<em>x</em> and ∠QSR measures 3<em>x</em>. Thus:
Solve for ∠PSQ:
Next, ∠PQS and ∠RQS form a linear pair. Thus:
∠RQS measures 68°. Thus:
Solve for ∠PQS:
The interior angles of a triangle must total 180°. So, for ΔPQS:
Substitute in the known values:
Simplify:
And divide. Hence:
Answer:
x = 84/5 = 16.8
Step-by-step explanation:
The angle bisector theorem said that
21/15 = x/12
==> 7/5 = x/12
==> x = 84/5
3x° is 60° , 2x° is 40° and 4x° is 80°
<h3>
How to determine the angles</h3>
Note that the sum of angles in a triangle is 180°
Solve for x in the triangle
Then,
3x° +2x° + 4x° = 180°
Add the x°
9x° = 180°
Divide both sides by 9
x° = 180÷ 9 = 20°
If x° = 20
Then 3x° = 3× 20 = 60°
2x° = 2 × 20 = 40°
4x°= 4× 20 = 80°
Therefore, 3x° is 60° , 2x° is 40° and 4x° is 80°
Learn more about angles in a triangle:
brainly.com/question/7620723
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<span>a line crosses the x axis when y = 0
0 = -3x - 18
Add 3x to both sides
3x = -18
Divide both sides by 3
x = -6
Graph intersects x axis at point
(-6, 0)
</span>
Answer:
second option
Step-by-step explanation:
I'm not sure how to explain but if you really need an explanation please message me
