Answer

Verified

353.7k+ views

**Hint:**An angle can be defined as the figure formed by two rays meeting at a common endpoint. An angle is represented by $\angle $. When a transverse line intersects the line angle is also formed. Supplement angles are those angles whose sum of the two angles is ${180^\circ}$.

**Complete step-by-step solution:**

Given,

Let the measure of an angle, $a = x$

Then the other angle is $b = x + 32$

Here angle a is ${32^\circ}$ less than the b as given in the question.

Then measure of their supplement angles is

As we know that,

$\text{Supplementary angle} = {180^o} - \text{Angle given}$

$ \Rightarrow a = 180 - b$

Put the value

$ \Rightarrow a + b = 180$

Put the value

$ \Rightarrow x + x + 32 = 180$

Simplify,

$ \Rightarrow x + x = 180 - 32$

$ \Rightarrow 2x = {148^o}$

$ \Rightarrow x = \dfrac{{148}}{2}$

$ \Rightarrow x = {74^o}$

**Note:**There are various types of angles. They are- right angle, acute angle, obtuse angle, straight angle, reflex angle. Complementary angles are those, in which the sum of two angles are 90. Reflex angles are those, in which the sum of two angles are equal to 270. Right angle in which angle is 90.

Recently Updated Pages

She leaned back feeling enervated Choose the word which class 8 english CBSE

Fill the blank with an appropriate modal What cannot class 8 english CBSE

The English Education Act was introduced in the year class 8 social science CBSE

What is Kayal in Geography class 8 social science CBSE

Are book titles proper nouns class 8 english CBSE

Are numbers adjectives Is two or three an adjective class 8 english CBSE

Trending doubts

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Which are the Top 10 Largest Countries of the World?

Give 10 examples for herbs , shrubs , climbers , creepers

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

Difference Between Plant Cell and Animal Cell

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

One cusec is equal to how many liters class 8 maths CBSE