Question

Laine drew the figure shown below. Lines u and w are parallel and cut by transversal i What is the measure of angle q in degrees?

Degrees: ​

Answer 1

Answer:

q= 54°

Step-by-step explanation:

It is 54° because it is a right triangle, so add 180°, minus 90, which is what they give you, it is 90° minus 36°, because it gives you an angle, the alternate external angles below are 54°.

Answer 2

Answer:

$\dashrightarrow \: \: \: 54 {}^{ \circ}$

Step-by-step explanation:

Kindly prefer attached Figure for better understanding. In figure we have given names to few of the angles such as angle a , angle b , angle c , angle d and angle e.

Now , for finding value of angle q :

• Angle a = Angle b

• Angle b = 36°

Reason : Angle a is vertically opposite angle of Angle b.

Now,

• Angle b = Angle c

• Angle c = 36°

Reason : Angle b and Angle c forms Alternate Angles.

Now,

• Angle c = Angle d

Reason : Angle c is vertically opposite angle of Angle d.

Now,

We can see that , angle e , angle d and angle q are three angles of right angle triangle. We also know that sum of all the interior angles of a triangle is equal to 180°.

Therefore,

• Angle q + Angle d + Angle e = 180°

• Angle q + 36° + 90° = 180

• Angle q + 126° = 180°

• Angle q = 180° - 126°

• Angle q = 54° ★

>>> Therefore , value of angle q is "54°".