Question

Hi, please help me, i really need it

thanks​

Answer 1

Exterior Angle Inequality Theorem

`\\ormalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}`

Direction:

Use the Exterior Angle Inequality Theorem to find the measure of each angle below.

Answer:

`\huge \underline{\boxed{\sf \red{ \angle C = 27^(\circ) }}}`

`\huge \underline{\boxed{\sf \red{ \angle D = 153^(\circ) }}}`

Solution:

Add the ∠A and ∠B and minus it to 180° to know the measure of ∠C. To find the ∠D add only the ∠A and ∠B.

Finding ∠C

`\large\tt{{180}^(\circ) = \angle A + \angle B + \angle C}`

`\large\tt{{180}^(\circ) = {35}^(\circ) + {118}^(\circ) + \angle C }`

`\large\tt{{180}^(\circ) = {153}^(\circ) + \angle C }`

`\large\tt{{180}^(\circ) - {153}^(\circ) = \angle C }`

`\large\tt{{27}^(\circ) = \angle C }`

`\large{\boxed{\tt{\angle C = {27}^(\circ)}} }`

Finding ∠D or ∠ACD

`\large\tt{ \angle A + \angle B = \angle ACD }`

`\large\tt{ {35}^(\circ) + {118}^(\circ) = \angle ACD }`

`\large\tt{ {153}^(\circ) = \angle ACD }`

`\large{\boxed{\tt{\angle ACD = {153}^(\circ) }}}`

`\\ormalsize\blue{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}`

`\\`

#CarryOnLearning