Answer:
Refer to the attachment for the labelling of the triangles.
In △ABC & △PQR,
∠A = ∠R (equal pair of angles)
∠B = ∠Q (equal pair of angles)
AC = PR (equal pair of sides)
•°• △ABC ≅ △RQP (Angle-Angle-Side congruence property → AAS property)
Hope it helps ⚜
The value of theta has a 30-degree reference angle and is located in Quadrant II or IV.
Given to us
To know the value we will simplify the given expression,
Hence, the value of theta is 30°.
<h3>Finding the location of the - tan30°?</h3>To know that the location of the -tan30°,
As the value is negative, therefore, there can be two cases,
Case I: when the value of Sin30° is negative,
Case II: when the value of cos30° is negative.
Case I: when the value of Sin30° is negative,
If the value of Sin30° is negative, while the value of cos30° is positive, the θ will lie in the fourth quadrant.
Case II: when the value of Cos30° is negative,
If the value of Cos30° is negative, while the value of Sin30° is positive, the θ will lie in the second quadrant.
Hence, the value of theta has a 30-degree reference angle and is located in Quadrant II or IV.
Learn more about Quadrants: