Question

Find the unknown angles with explanation

Answer 1

Answer:

angle A= 130 degrees

B= 40 degrees

Z= 28 degrees

W= 62 degrees

Answer 2

Answer:

b = 40°

a = 130°

z = 28°

w = 62°

Step-by-step explanation:

we know that,

the sum of the three angles of a triangle=180°

△ABC is a right angle triangle and ∠C=90°

∠B=50°

∠A+∠B+∠C=180°

or, ∠A+ 50°+ 90°=180°

or, ∠A + 140°=180°

or, ∠A= 180°-140°

or, ∠A= 40°

b=40°

∠DBC is a straight angle

∠DBC= 180°

or, ∠ABD+∠ABC=180°

or, ∠ABD + 50°=180°

or, ∠ABD=180°-50°

or, ∠ABD= 130°

a=130°

△ACE is a right angle triangle and ∠CAE=90°

∠AEC=62°

we know that,

the sum of the three angles of a triangle=180°

∠CAE+∠AEC+∠ ACE=180°

or, 90°+62°+ ∠ACE =180°

or, 152° + ∠ACE = 180°

or, ∠ACE= 180°-152°

or, ∠ACE = 28°

z=28°

∠BCF is a straight angle

∠BCF= 180°

or, ∠BCA+ ∠ACE+ ∠ECF = 180°

or, 90° + 28° + ∠ECF= 180°

or, 118° + ∠ECF= 180°

or, ∠ECF= 180°-118°

or, ∠ECF= 62°

w=62°