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hoodricchkeyy
25.10.2020 •
Mathematics
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Ответ:
Step-by-step explanation:
We can use basic angle relationships to find m∠1.
We know that the 130° angle and m∠D are supplementary. This means their angle measures add up to 180°. Since we know one, we can find m∠D by subtracting it from 180.
So m∠D is 50°.
We also know that all angles in a triangle add up to 180°. Since we know two out of the three, we can add the two and subtract from 180.
So m∠2 = 60°.
Again, m∠2 and m∠1 are supplementary. Since we know 1, we can find m∠1 by subtracting from 180.
So m∠1 is 120°.
Hope this helped!
Ответ:
Explanation:
Let y be the measure of the interior angle adjacent to the 130 degree exterior angle
y+130 = 180
y = 180-130
y = 50
Interior angle D is 50 degrees.
It adds to angle C getting 50+70 = 120, which is the measure of angle 1 due to the remote interior angle theorem.
We can see it if we let angle 2 be x
B+C+D = 180 ... interior angles of a triangle add to 180
x+70+50 = 180
x+120 = 180
x = 180-120
x = 60
angle B = 60
To find angle 1, we subtract this from 180, since
(angle1)+(angle2) = 180
(angle1)+(60) = 180
angle1 = 180-60
angle1 = 120
This leads to the same result as before.
Ответ:
Step-by-step explanation: