Answer:
Option 2 : m∠1 = 67.4°, m∠2 = 104.5°
Step-by-step explanation:
Lets find the measure of angle 2 first:
180° - 17.3° - (180° - 121.8°) = Angle 2
↑
Angle of the straight line = 180°
The angle should be 180 - 121.8
Angle 2 = 104.5
At this point the only answer that works is the second option, but let's still work out Angle 1
Angle 1 :
Theory of opposite angles state that the opposite angles inside a triangle = the exterior angle
in this case:
Angle 1 + 37.1 = Angle 2
Since we know angle 2 = 104.5, lets solve
Lets say angle 1 = x
x + 37.1 = 104.5
x = 104.5 - 37.1
x = 67.4
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-Chetan K
Answer:

Step-by-step explanation:
Let
x ----> the measure of one angle of the triangle
y ---> the measure of the second angle
z ----> the measure of the third angle
we know that
The sum of the measure of the interior angles in any triangle must be equal to 180 degrees
-----> equation A
One angle of a triangle measures 10 degrees more than the second
----> equation B
The measure of the third angle is twice the sum of the first two angles
---> equation C
substitute equation B in equation C

----> equation D
substitute equation D and equation B in equation A

solve for y

Find the value of x

Find the value of z

therefore

Answer:
I'm pretty sure it is A
Step-by-step explanation: