Geomotry 10th grade easy 25 points

1=45°

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°, 45°, and 30°

Now the angle that is 45° makes angle 1 congruent to angle 45°

Meaning angle 1 is 45°

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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step-by-step explanation:

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