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Sagot :
Answer: 1=60°
Step-by-step explanation:
First, let's take our given angle of 30°
30° is in a right triangle, so the angles must be 90°, 60°, and 30°
Now the angle that is 45° makes angle 1 congruent to angle 60°
Meaning angle 1 is 60°
Answer:
m < 1 = 60
Step-by-step explanation:
Since the transversal is perpendicular to m,
it implies that the triangle formed by the perpendicular transversal, the slant transversal and the line m is a right angle triangle.
We use vertically opposite angles property to bring m<1 in to the right triangle.
We now use the sum of interior angles property to obtain,
m < 1 + 30 + 90 = 180
This implies that,
m < 1 + 120 + 180
We group like terms to obtain,
m < 1 = 180 - 120
This means that,
m < 1 = 60
We could have also used corresponding angles property, then
m < 1 + 30 = 90
m < 1 = 90 - 30
m < 1 = 60
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