Chapter 1, Problem 11RP

To determine

Reasons are to be provided for the statements written in the question

Answer to Problem 11RP

	Statements	Reasons
$1$	$\angle ABC={130}^0$	The value of this angle is already given
$2$	$\angle ABD={60}^0$	The value of this angle is already given
$3$	$\angle DBC={70}^0$	$\angle DBC=\angle ABC-\angle ABD={(130-60)}^0={70}^0$
$4$	$\angle DBC$ is acute	Acute angle lies in the range of $(0,{90}^0)$

Explanation of Solution

Given Info:The following diagram is given in the question:

  

The following formulas have been used to provide the reasoning for the corresponding statements

If $\overrightarrow{DB}$ cuts the $\angle ABC$ , then

  $\angle DBC=\angle ABC-\angle ABD$

Acute angle lies in the range of $(0,{90}^0)$