Question

Show that the bisectors of two adjecent supplementry angle incluade a right angle

Answer 1

Answer:

• ∠DAB + ∠EBA = 180

• ⇒ 2∠CAB + 2∠CBA = 180

• ⇒ ∠CAB + ∠CBA = 90

• In ∆ABC,

• ∠CAB + ∠CBA + ∠ABC = 180

• ⇒ 90 + ∠ABC = 180

• ⇒ ∠ABC = 180- 90 = 90

• Thus, PROVEN.

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Step-by-step explanation:

Answer 2

∠DAB + ∠EBA = 180

= 2∠CAB + 2∠CBA = 180

= ∠CAB + ∠CBA = 90

In ∆ABC,

∠CAB + ∠CBA + ∠ABC = 180

= 90 + ∠ABC = 180

= ∠ABC = 180- 90 = 90

Thus, PROVEN.