In Δ PQR, S and T are points on the sides PQ and PR, respectively, such that Δ PST is similar to Δ PRQ. If m ∠PQR = 47°, then find m ∠STR.
133°
The correct answer is 133°.
Angles on a Straight Line: The sum of angles on a straight line is always 180°. Angles Around a Point: The sum of angles around a point is always 360°. Interior Angles of a Triangle: The sum of the interior angles in any triangle is always 180°. Understanding these fundamental angle relationships is crucial for solving various geometry problems, especially those involving triangles and lines.
Important Questions from Triangles, Congruence and Similarity
The radius of the circumcircle of an equilateral triangle of √3 unit side, is:
If the ratio of the angles of a triangle is 3 : 5 : 7, find the value of the largest angle.
A. 36°
B. 60°
C. 84°
D. 15°
If ΔABC and Δ PQR are similar and \(\rm\frac{BC}{QR} = \frac{1}{3}\) , find \(\rm\frac{ar(\Delta PQR)} {ar(\Delta BCA)}\)
If the angles of a triangle are in the ratio of 2 : 5 : 8, then find the value of the smallest angle.
ABCD is a parallelogram. Side BC is produced to E such that BC = CE. Join AE which intersects side CD at P. The area of triangle ABE is:
