Question

The difference in measures of two complementary angle is 34 degree. Find the measure of the angles​

Answer 1

We know that sum of 2 complement angles are 90

Let the angles be x and x - 34

x + x - 34= 90

2x - 34 = 90

2x = 90 + 34

2x = 124

x = 62

x - 34 = 62 - 34 = 28

Answer 2

$\large\underline\blue{\bold{Given\:Question - }}$

• The difference in measures of two complementary angle is 34 degree. Find the measure of the angles.

$\large\underline\blue{\bold{Given - }}$

• The difference in measures of two complementary angle is 34 degree.

$\large\underline\blue{\bold{To\:Find - }}$

• The measure of the angles

$\large\underline\purple{\bold{Solution :- }}$

$\begin{gathered}\begin{gathered}\bf \:Let \: the \: angles \: be \: \begin{cases} &\sf{x} \\ &\sf{x + 34} \end{cases}\end{gathered}\end{gathered}$

$\tt \: Since \: x \: and \: x + 34 \: are \: complementary$

$\rm :\implies\:x + x + 34 = 90$

$\rm :\implies\:2x = 90 - 34$

$\rm :\implies\:2x = 56$

$\rm :\implies\:x = 28$

$\begin{gathered}\begin{gathered}\bf \:Hence \: the \: angles \: are \: \begin{cases} &\sf{x = 28} \\ &\sf{x + 34 = 28 + 34 = 62} \end{cases}\end{gathered}\end{gathered}$