Mathematics

If O is the ethnocentric of the $\Delta ABC$, then

$\angle BOC and \angle BAC$ are supplementary

SOLUTION
Suppose a circle is drawn passing through all the vertices of the triangle ABC with centre at O (orthocenter).thus the angle formed at the orhtocenter is the supplement of the angle at the vertex.
$\angle$ BAC + $\angle BOC = 180°$
So, $\angle BOC\quad and\quad \angle BAC$ are supplementary.
Answer (B) $\angle BOC\quad and\quad \angle BAC$ are supplementary.

You're just one step away

Single Correct Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

Realted Questions

Q1 Subjective Medium
For an angle $x^{o}$, find:
the supplementary angle

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Subjective Medium
An angle which is half of its supplement is of ______ .

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Single Correct Medium
In figure, if $OP\parallel RS, \angle OPQ=110^o$ and $\angle QRS=130^o$, then $\angle PQR$ is equal to:
• A. $40^o$
• B. $50^o$
• C. $70^o$
• D. $60^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q4 Single Correct Medium
In the Fig; we have $\angle ABC=\angle ACB, \angle 3=\angle 4$. Then:
• A. $\angle 3= \angle 1$
• B. $\angle 3= \angle 2$
• C. $\angle 2 = \angle 4$
• D. $\angle 1 = \angle 2$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Subjective Medium
Read the following two statements which are taken as axioms:
(i) If two lines intersect each other, then the vertically opposite angles are not equal.
(ii) If a ray stands on a line, then the sum of two adjacent angles so formed is equal to $180^0$.