In the diagram, EFGH is a cyclic quadrilateral in which EH || FG, EG and FH are chords. If < FHG = \(424^{\circ}\) and < EFH = \(34^{\circ}\)

Assessment: JAMB UTME - Mathematics - 1999 Subject: General Mathematics

Question 1 Report

In the diagram, EFGH is a cyclic quadrilateral in which EH || FG, EG and FH are chords. If < FHG = \(424^{\circ}\) and < EFH = \(34^{\circ}\)

Answer Details
< EFH = < EGH = 34 ∘  (angles n the same segment)

< GHF = < GEF = 42 ∘ (angles in the same segment)

< FOG = 42 + 34 = 76(exterior angle)

< FOG = < EOH = 76(vertically opposite angle)

< EDO = 90 ∘ , < DOE =  76 2  = 38 ∘

< HEG = 90 ∘  - 38 ∘  = 52

Read lesson note on Circles (WAEC)
View Answer

Related Questions

1

Find the equation of the locus of a point P(x,y) such that PV = PW, where V = (1,1) and W = (3,5)
2

Find the area bounded by the curve y = x(2-x). The x-axis, x = 0 and x = 2.
3

Find the value of x for which the function y = x3 - x has a minimum value.
4

Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.
5

What is the derivative of t2 sin (3t - 5) with respect to t?
6

Evaluate: \( \int_{0}^{z}(\sin x-\cos x)\,dx \) Where \( z=\frac{\pi}{4}.(\pi=pi) \)
7

Evaluate \( \int_{-2}^{1} (x - 1)^2 \, dx \)
8

The shaded portion in the graph is represented by

Download The App On Google Playstore

Everything you need to excel in your exams

Green Bridge CBT Mobile App
Personalized AI Learning Chat Assistant
200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO
Over 3,900 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning