question is in the adjoining pic plz ans i will mark as brainliest
Answers
Answer:
Step-by-step explanation:
in (i), x= 123-58
= 65 [if you extend a line of a triangle, the angle formed by the line and the adjacent side is equal to the sum of the other two angles in the triangle]
in (ii),x= 180-(70+42) <angle sum property-the sum of interior angles of a triangle is equal to 180>
x=68
y=<following the aforementioned theorem> 70+68=138
in (iii),
<angle sum property>50+2x=180
2x=130
x=65
y=<following the theorem that is mentioned above> 50+65
=115
Answer:
i. 65°
ii. x = 68° y = 138°
iii. x = 65° y = 115°
iv. x = 40° y = 30°.
Step-by-step explanation:
i. First, to get the first angle on the right. To do this subtract 180 from 123 and you get 57. Then, add 57 to the other angle 58. You will get 115. Then finally, because a triangle's angles always equal 180° Do 180 -115 = 65°.
ii. x = 42 + 70 = 112. 180 - 112 = 68°.
y = 180 - 42 = 138°.
iii. The 2 missing angles are equal so they are 65° because 65 + 65 = 130 + 50 = 180 and 180 is the total of all the angles in any triangle. y = 115° because 180 - 65 = 115°.
iv. x = 40 because the angles combined equal 70° which is the same as the angle across. Y = 30 because the angle is the same size as the 30° angle.
Hope this helps! Plz mark as brainliest!