Question

hi, please help me, i really need it

thanks​

Answer 1

Exterior Angle Inequality Theorem

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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

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

$\large\tt{ {35}^{\circ} + {118}^{\circ} = \angle ACD }$

$\large\tt{ {153}^{\circ} = \angle ACD }$

$\large{\boxed{\tt{\angle ACD = {153}^{\circ} }}}$

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