Can someone please solve this, and explain it to me?
- lenpol7Lv 71 month ago
For all triangles 'x' is the sum of the two opposite interior angles, one of which has been given ; viz. 104 o
To find the other we have a straight line with an supplementary angle of 142 o . Now the angle of any point on a straight line is 180 o . So if we subtract 180 - 142 = 38 o , which is the other opposite interior angle.
So 'x' is 38 + 104 = 142 o
- sparrowLv 72 months ago
When 2 angles are formed along a straight line, they must add up to 180. Also, all 3 angles inside of a triangle must add up to 180. Start solving the upper left hand corner angle, using the straight line rule.
- AmyLv 72 months ago
The uppermost angle in the triangle forms a straight line when combined with the 142° angle, so it must be 38°.
Angles of a triangle sum to 180°. If one is 38° and another is 104°, the third angle must be 38°.
Then that angle and x make another straight line.
- PhilomelLv 72 months ago
the sum of complimentary angles is 10 deg.
The sum of 3 interior angles of a triangle is 180 deg.
The top acute angle is 180-142=38 deg.
The lower acute angle is: 180-38-104=38 degrees.
The outer obtuse angle is: 180-38=142 deg.
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- Engr. RonaldLv 72 months ago
1st solve the angle which is linier to angle 142°. Let's call it angle y.
y° = 180 - 142 = 38°
next solving the other angle that is linier to angle x
z° = 180 - 104 - 38 = 38°
lastly, solving for x
since angle x and angle z are supplementary, we can solve for x by subtracting 180°.
x = 180 - 38 = 142° Answer//
- PinkgreenLv 72 months ago
- KrishnamurthyLv 72 months ago
x = 104° + (180° - 142°) = 142°
See below for work and solution.
Sum of the internal angles of a triangle is 180°
Supplementary angles sum to 180°
Putting those two together:
104° + (180-142)° + (180-x)° = 180°
(104 + 38 + 180) - x = 180
x = 104+38
x = 142°
- jacob sLv 72 months ago
180 -142 = 38
38 + 104 = 142
142 + x =180