Answer question number 9,10,11
If u answer all 3 i will marks as brainliest
Answers
Answer:
9)
LET THE TWO EQUAL ANGLES BE X
ONE ANGLE=90°=∠1 (IT'S A RIGHT ANGLED TRIANGLE)
⇒X+X+∠1=180 (ANGLE SUM PROPERTY)
⇒2X=180-90=90
⇒X=90/2=45°
MEASURE OF BOTH THE ANGLES IS 45°
10)LET THE MEASURE OF EACH ANGLE BE X (AS THEY ARE EQUAL)
⇒X+X+X=180 (ANGLE SUM PROPERTY)
3X=180
X=180/3= 60°
MEASURE OF EACH ANGLE IS 60°
11)LET ∠1=90° AND ∠2=40°
WE HAVE TO FIND ∠3
⇒∠1+∠2+∠3=180 (ANGLE SUM PROPERTY)
∠3=180-(90+40)
∠3=180-130
∠3=50°
ALL DONE!!!!! :)
Step-by-step explanation:
Solution
(9)
fir an isosceles right angled triangle one angle is of measure 90° and the other pair of angles produced by the same sides on the same base are equal ..
let ..∆ABC is an isosceles angle in which <C=90°
therefore..the rest of the angles ..i.e.,
<A=<B
now...A+B+C=180°
A+B=180°-C=180°-90°=90°
2A=90°
= A=45°
therefore..B=45° ....as A=B
so the angles are A=B=45°,,and C=90°(ans)
...
(10)
for ∆ABC...A=B=C
therefore..
A+B+C=180°
3A=180°
A=60°. {as,A=B=C}
therefore..
A=B=C=60°(ans)
(11)
for the right angled triangle ∆ABC..let C=90°
now..let..A=40°
therefore..
A+B+C=180°
= 40°+B+90°=180°
=>B=180°-130°=50°
therefore the other angle is 50° (ans)