Question

angle A and angle B are commplementary angles. If angle A=angle B -20, then find angle A and angle B​

Answer 1

Answer:

55

Step-by-step explanation:

A+ b = 90

b-20 + b =90

2b = 110

b = 55

Answer 2

GIVEN:

• ∠A and ∠B are completely angles.
• ∠A = B - 20

TO FIND:

• What is the measure of ∠A and ∠B ?

SOLUTION:

We have given that, ∠A and ∠B are completely angles

and

∠A = B - 20

We know that the sum of complementary angles is 90°

According to question:-

$\rm{\rightharpoonup \angle A + \angle B = 90\degree}$

$\rm{\rightharpoonup \angle B - 20 + \angle B = 90\degree}$

$\rm{\rightharpoonup 2 \angle B = 90 + 20}$

$\rm{\rightharpoonup 2 \angle B = 110}$

$\rm{\rightharpoonup \angle B = \cancel \dfrac{110}{2}}$

$\bf{\rightharpoonup \star \: \angle B = 55\degree \: \star}$

➾ ∠A = ∠B - 20

$\rm{\rightharpoonup \angle A = 55-20}$

$\bf{\rightharpoonup \star \: \angle A = 35\degree \: \star}$

Hence,

⠀⠀⠀⠀⚫ ∠A = 35°

⠀⠀⠀⠀⚫ ∠B = 55°

VERIFICATION:

➾ $\rm{ \angle A + \angle B = 90\degree}$

➾ $\rm{ 35 + 55 = 90\degree}$

➾ $\bf{ 90\degree = 90\degree}$

$\rm{ L.H.S. = R.H.S.]}$

VERIFIED....

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