Question

find the unknown angle plzzz​

Answer 1

vii] 3x +2x +90= 180 {angle sum property}

    5x +90= 180

   5x =180 -90

   5x = 90

     x= 90/5

     x=18

viii] {2x - 10} +x = 95

      2x -10+x =95

      3x =95+10

       3x = 105

       x =105/3

       x =35

Answer 2

Answer:

In first triangle ABC is triangle in which angle A = 90° , angle B = 2x, angle C= 3x

To find - angle B and angle C

solution- In triangle ABC

angle A+ angle B+ angle C = 180 ( some of angle of triangle)

90°+2x+3x= 180

2x+3x=180-90

5x=90°

x= 90÷5

x=18°

Now, To find angles B

angle B = 2x = 2×18

angle B = 36°

Now, To find angle C

angle C = 3x = 3×18

angle C = 54°

Now in second triangle

PQR is an triangle

In which angle RPQ = X°,

angle RQS=95°, angle PRQ =2x-10°, angle RQP = ?

now, To find angle RQP

angle RQP + angle RQS = 180° [linear

pair of angle]

angle RQP + 95° = 180°

angle RQP = 180° - 95°

angle RQP = 85°

Now, In triangle PQR

angle RPQ + angle RQP + angle PRQ = 180° [ some of angle of triangle]

X °+ 85° + 2x-10° = 180°

X° + 2x-10° = 180° - 85°

3x - 10° = 95°+10°

3x = 105°

X°= 105° ÷ 3°

x° = 35°

angle RPQ = X° = 35°

Now, To find angle PRQ

angle PRQ = 2x-10°

angle PRQ = 2°×35°-10°

angle RPQ = 60°

Hence Find