A triangle ABC is inscribed in a circle. The tangents at A, B and C intersect at points P, Q and R such that triangle PQR is formed. Given that the angles of triangle PQR are x, 2x and 2x, calculate the value of x and hence find the size of angles of A ABC.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Essential mathematics for senior secor
A triangle ABC is inscribed in a circle. The
tangents at A, B and C intersect at points P,
Q and R such that triangle PQR is formed.
Given that the angles of triangle PQR are
x, 2x and 2x, calculate the value of x and
hence find the size of angles of A ABC.
8 In the diagram below, TA and TC are tan-
gents to the circle ABC at A and C, respec-
tively. If ZATC = 54°, find the values of
11
WE
the
cle
%3D
W, x, y and z.
y
Transcribed Image Text:154 Essential mathematics for senior secor A triangle ABC is inscribed in a circle. The tangents at A, B and C intersect at points P, Q and R such that triangle PQR is formed. Given that the angles of triangle PQR are x, 2x and 2x, calculate the value of x and hence find the size of angles of A ABC. 8 In the diagram below, TA and TC are tan- gents to the circle ABC at A and C, respec- tively. If ZATC = 54°, find the values of 11 WE the cle %3D W, x, y and z. y
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