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HELP!!! I am having trouble understanding how to do these problems. Can someone please help explain how to complete these problems. Thank you so much!

1. Find the measure of <6.


2. Find the measure of <4.

HELP I am having trouble understanding how to do these problems Can someone please help explain how to complete these problems Thank you so much 1 Find the meas class=

Respuesta :

fatimaalmarzooqi011

Answer:

1=180 2=90

Step-by-step explanation:

1=∠1 and ∠2 are supplementary, so m∠2 = 180° - x°. ∠2 and ∠6 are corresponding angles. So, m∠6 = 180° - x°.

2=Their measures are equal, so m∠4 = 90 . When two lines intersect to form one right angle, they form four right angles.

devishri1977

Answer:

∠4 = 55°

∠6 = 35°

Step-by-step explanation:

Finding the unknow angles:

    In ΔABC,

         35 + 90 + ∠4 = 180° {Sum of all angles of triangle}

                  125 +∠4 = 180

                           ∠4 = 180 - 125

                             ∠4 = 55°

Linear pair: If in two adjacent angles, the  non-common arms form a straight line, then the two angles are called linear pair and they add up to 180.

∠7 + ∠8 = 180°  {linear pair}

   90 + ∠7  = 180°

            ∠7 = 180 - 90

                 ∠7 = 90°

In ΔACD,

         ∠6 + ∠4+ ∠7 = 180  {Sum of all angles of triangle}

           ∠6 + 55 + 90 = 180

                   ∠6 + 145 = 180

                             ∠6 = 180 - 145

                   ∠6 = 35°

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