Question

ab=ac and ap lamb bc and angle b =60dgree then find angle bap and angle acb​

Answer 1

Working out:

Here, we are given with triangle ABC and some of the necessary conditions and measures of the angles:

AB = AC

AP ⟂ BC

Angle B = 60°

We have to find angle BAP and angle ACB

Finding angle BAP:

In triangle ∆APB,

Angle APB = 90°

Angle ABP = 60° ( Angle B = 60° )

And we know that, the angle sum property of a triangle says that all angles of a triangle add upto 180°. So,

$\sf{ \longrightarrow{ \angle APB + \angle ABP + \angle BAP = 180 \degree}}$

Substituting the values of given angles,

$\sf{ \longrightarrow{90 \degree + 60 \degree + \angle BAP = 180 \degree}}$

$\sf{ \longrightarrow{ 150 \degree + \angle BAP = 180 \degree}}$

$\sf{ \longrightarrow{ \boxed{ \red{ \sf{ \angle BAP = 30 \degree}}}}}$

Hence, measure of angle BAP = 30°

Finding angle ACB:

In triangle ∆ABC,

AB = AC

We know that, equal angles faces equal sides in a triangle, so we can write that:

$\sf{ \longrightarrow{ \angle ABC = \angle ACB}}$

$\sf{ \longrightarrow{60 \degree = \angle ACB}}$

Flipping it,

$\sf{ \longrightarrow{ \boxed{ \sf{ \red{ \angle ACB = 60 \degree}}}}}$

Hence, angle ACB = 60°

And, we are done with the answers !!

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Answer 2

Answer:

• the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.