Using the given information, find the value of x in each of the following figures:

Question

deepaksoniGuru

Asked: March 25, 20212021-03-25T14:47:12+05:30 2021-03-25T14:47:12+05:30In: ICSE

This is circle based question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15

In this question we have been given the figure of the circle and se have to find the value of x in this figure

ICSE Avichal publication
Understanding ICSE Mathematics
Question no1

Leave an answer

AAREKH · Answer 1 · 2021-03-27T17:40:00+05:30

AAREKH Guru

From the given number we have

∠BAD = ∠BCD

Because angles in the same segment

But ∠BAD = 20^o

∠BAD = 20^o

∠BCD = 20^o

∠CEA = 90^o

∠CED = 90^o

Now in triangle CED,

∠CED +
∠BCD + ∠CDE = 180^o

90^o + 20^o + x = 180^o

= 110^o + x = 180^o

x = 180^o – 110^o

x = 70^o