319,219 views
18 votes
18 votes
Work out the size of the angle marked t

Work out the size of the angle marked t-example-1
User SujitS
by
3.0k points

2 Answers

20 votes
20 votes
The triangle shown is an isosceles triangle, which means both the both angles are of the same size.

the sum of all the angles is 180°.

t ° + t ° + 110 ° = 180 °

2t ° = 180 ° - 110 °

2t ° = 70 °

t = 70°/2

t = 35 °
User Melesa
by
2.8k points
18 votes
18 votes

Answer:

35°

Explanation:

This is an isoceles triangle

And as we all know an isoceles triangle has two equal base angles.

And we also know that the sum of all interior angles of the triangle is 180°

So based on this we can form an algebraic equation of solve for angke t (Let's do it :))


110 + 2t = 180 \\ 2t = 180 - 110 \\ 2t = 70 \\ t = (70)/(2) \\ t = 35

So the base angle is 35°

User Grayson
by
2.7k points