Question

The measure of $\angle ABC=45°32\text{'}29"$ and $\angle PQR=22°45\text{'}25"$ then find$\angle ABC+\angle PQR$

Answer 1

Finding the measure of $\angle ABC+\angle PQR$

Given that

$\angle ABC=45°32\text{'}29"$

$\angle PQR=22°45\text{'}25"$

We have to find the value of $\angle ABC+\angle PQR.$

Putting the values of $\angle ABC$ and $\angle PQR$

$\begin{array}{lcl}& & \left(45°32\text{'}29\text{'}\text{'}\right)+\left(22°45\text{'}25\text{'}\text{'}\right)\\ & & 45°+32\text{'}+29\text{'}\text{'}+22°+45\text{'}+25\text{'}\text{'}\\ & & 67°+77\text{'}+54\text{'}\text{'}\\ & & 67°+60\text{'}+17\text{'}+54\text{'}\text{'}\\ & & 67°+1°+17\text{'}+54\text{'}\text{'}\left[1°=60\text{'}\right]\\ & & 68°+17\text{'}+54\text{'}\text{'}\\ & & 68°17\text{'}54\text{'}\text{'}\\ & & \end{array}$

Hence, $68°17\text{'}54\text{'}\text{'}$ is the required answer.