Find the measure of the supplementary angle of the following angles :
(i) $45^{\circ}$
(ii) $57^{\circ}$ [2 MARKS]

Open in App

Solution

Concept: 0.5 Mark each
Application: 0.5 Mark each

We know that the measure of the supplementary angle of $x^{\circ}$ is equal to $(180^{\circ} - x^{\circ})$ .

(i) Measure of the supplementary angle of $45^{\circ}$

$= 180^{\circ} - 45^{\circ} = 135^{\circ}$

(ii) Measure of the supplementary angle of $57^{\circ}$

$= 180^{\circ} - 57^{\circ} = 123^{\circ}$

Suggest Corrections

Similar questions

Find the measure of the complementary angle of the following angles:
$(i) 22^{\circ}$
$(i i) 63^{\circ}$ [2 MARKS]

Find the measure of an angle which forms a pair of supplementary angles with itself. [1 MARK]

(a) Find the value of angles 2,3,4 if the value of angle 1 is 45. [4 MARKS]

(b) The supplementary angle of which angle is the complementary angle of $70^{\circ}$ ?

Two opposite angles of a parallelogram are $(4 x - 3)^{\circ}$ and $(57 - x)^{\circ}$ . Find the measure of each angle of the parallelogram. [2 MARKS]

Q. Classify the following pair of angles as complementary and supplementary. [4 MARKS]

(i)

120^{\circ}, 50^{\circ}

(ii)

60^{\circ}, 120^{\circ}

(iii)

39^{\circ}, 61^{\circ}

(iv)

65^{\circ}, 25^{\circ}

Join BYJU'S Learning Program

Find the measure of the supplementary angle of the following angles : (i) 45∘ (ii) 57∘ [2 MARKS]

Concept: 0.5 Mark each Application: 0.5 Mark each We know that the measure of the supplementary angle of x∘ is equal to (180∘–x∘). (i) Measure of the supplementary angle of 45∘ =180∘–45∘=135∘ (ii) Measure of the supplementary angle of 57∘ =180∘–57∘=123∘

Find the measure of the supplementary angle of the following angles :
(i) $45^{\circ}$
(ii) $57^{\circ}$ [2 MARKS]