Question

Why is it impossible for m∠L = 64° and m∠Z = 79°?

Answer 1

Solution :-

in ∆LBZ we have given that,

→ ∠L = 64°

→ ∠Z = 79°

→ LZ = 8

→ BZ = 4

→ LB = 7

so,

→ ∠L + ∠Z + ∠B = 180° { By angle sum property. }

→ 64° + 79° + ∠B = 180°

→ 143° + ∠B = 180°

→ ∠B = 180° - 143°

→ ∠B = 37°

now, we know that, angle opposite to larger sides are greater in measure .

so,

→ LZ > LB > BZ

then,

→ ∠B > ∠Z < ∠L

but we have,

→ 79° > 64° > 37°

→ ∠Z > ∠L > ∠B

since ∠B is smallest angle but side opposite to ∠B is largest , therefore, we can conclude that it is not possible if ∠L = 64° and ∠Z = 79° .

Learn more :-

in triangle ABC seg DE parallel side BC. If 2 area of triangle ADE = area of quadrilateral DBCE find AB : AD show that B...

https://brainly.in/question/15942930

2) In ∆ABC seg MN || side AC, seg MN divides ∆ABC into two parts of equal area. Determine the value of AM / AB

https://brainly.in/question/37634605